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2304414024 = 2331125091559
BaseRepresentation
bin1000100101011010…
…1001000101001000
312221121011100202120
42021112221011020
514204412222044
61020355331240
7111051124143
oct21126510510
95847140676
102304414024
11a82866400
125438b0b20
132a955c2c3
1417c09b05a
15d7494519
hex895a9148

2304414024 has 96 divisors (see below), whose sum is σ = 6348888000. Its totient is φ = 696488320.

The previous prime is 2304414023. The next prime is 2304414041. The reversal of 2304414024 is 4204144032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2304413985 and 2304414003.

It is not an unprimeable number, because it can be changed into a prime (2304414023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1477357 + ... + 1478915.

It is an arithmetic number, because the mean of its divisors is an integer number (66134250).

Almost surely, 22304414024 is an apocalyptic number.

2304414024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304414024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174444000).

2304414024 is an abundant number, since it is smaller than the sum of its proper divisors (4044473976).

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

2304414024 is a wasteful number, since it uses less digits than its factorization.

2304414024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2304414024 is about 48004.3125562694. The cubic root of 2304414024 is about 1320.8500080792.

Adding to 2304414024 its reverse (4204144032), we get a palindrome (6508558056).

It can be divided in two parts, 2304 and 414024, that added together give a triangular number (416328 = T912).

The spelling of 2304414024 in words is "two billion, three hundred four million, four hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 509 726 968 1018 1452 1527 1559 2036 2904 3054 3118 4072 4677 5599 6108 6236 9354 11198 12216 12472 16797 17149 18708 22396 33594 34298 37416 44792 51447 61589 67188 68596 102894 123178 134376 137192 184767 188639 205788 246356 369534 377278 411576 492712 565917 739068 754556 793531 1131834 1478136 1509112 1587062 2263668 2380593 3174124 4527336 4761186 6348248 8728841 9522372 17457682 19044744 26186523 34915364 52373046 69830728 96017251 104746092 192034502 209492184 288051753 384069004 576103506 768138008 1152207012 2304414024