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2304142416 = 243383179359
BaseRepresentation
bin1000100101010110…
…0110110001010000
312221120122120012000
42021111212301100
514204330024131
61020345434000
7111045613242
oct21125466120
95846576160
102304142416
11a826a0334
1254379b900
132a94957a4
1417c02a092
15d743dce6
hex89566c50

2304142416 has 160 divisors (see below), whose sum is σ = 6749568000. Its totient is φ = 752452992.

The previous prime is 2304142411. The next prime is 2304142427. The reversal of 2304142416 is 6142414032.

It is a happy number.

2304142416 is a `hidden beast` number, since 2 + 3 + 0 + 414 + 241 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2304142416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304142411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6418045 + ... + 6418403.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 22304142416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784000).

2304142416 is an abundant number, since it is smaller than the sum of its proper divisors (4445425584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2304142416 is a wasteful number, since it uses less digits than its factorization.

2304142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2304142416 is about 48001.4834770760. The cubic root of 2304142416 is about 1320.7981123809.

Adding to 2304142416 its reverse (6142414032), we get a palindrome (8446556448).

The spelling of 2304142416 in words is "two billion, three hundred four million, one hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 179 216 249 332 358 359 432 498 537 664 716 718 747 996 1074 1077 1328 1432 1436 1494 1611 1992 2148 2154 2241 2864 2872 2988 3222 3231 3984 4296 4308 4482 4833 5744 5976 6444 6462 8592 8616 8964 9666 9693 11952 12888 12924 14857 17232 17928 19332 19386 25776 25848 29714 29797 35856 38664 38772 44571 51696 59428 59594 64261 77328 77544 89142 89391 118856 119188 128522 133713 155088 178284 178782 192783 237712 238376 257044 267426 268173 356568 357564 385566 401139 476752 514088 534852 536346 578349 713136 715128 771132 802278 804519 1028176 1069704 1072692 1156698 1430256 1542264 1604556 1609038 1735047 2139408 2145384 2313396 3084528 3209112 3218076 3470094 4290768 4626792 5333663 6418224 6436152 6940188 9253584 10667326 12872304 13880376 16000989 21334652 27760752 32001978 42669304 48002967 64003956 85338608 96005934 128007912 144008901 192011868 256015824 288017802 384023736 576035604 768047472 1152071208 2304142416