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2314002336 = 253291376067
BaseRepresentation
bin1000100111101100…
…1101111110100000
312222021012111110020
42021323031332200
514214341033321
61021341033440
7111225460332
oct21173157640
95867174406
102314002336
11a88215228
12546b55880
132ab538669
1417d475452
15d823a4c6
hex89ecdfa0

2314002336 has 96 divisors (see below), whose sum is σ = 6330623040. Its totient is φ = 739178496.

The previous prime is 2314002329. The next prime is 2314002349. The reversal of 2314002336 is 6332004132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23140023362 = 10709213622026913792, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378375 + ... + 384441.

It is an arithmetic number, because the mean of its divisors is an integer number (65943990).

Almost surely, 22314002336 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 2314002336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165311520).

2314002336 is an abundant number, since it is smaller than the sum of its proper divisors (4016620704).

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

2314002336 is a wasteful number, since it uses less digits than its factorization.

2314002336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2314002336 is about 48104.0781639145. The cubic root of 2314002336 is about 1322.6794242956.

Adding to 2314002336 its reverse (6332004132), we get a palindrome (8646006468).

The spelling of 2314002336 in words is "two billion, three hundred fourteen million, two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 137 174 232 274 348 411 464 548 696 822 928 1096 1392 1644 2192 2784 3288 3973 4384 6067 6576 7946 11919 12134 13152 15892 18201 23838 24268 31784 36402 47676 48536 63568 72804 95352 97072 127136 145608 175943 190704 194144 291216 351886 381408 527829 582432 703772 831179 1055658 1407544 1662358 2111316 2493537 2815088 3324716 4222632 4987074 5630176 6649432 8445264 9974148 13298864 16890528 19948296 24104191 26597728 39896592 48208382 72312573 79793184 96416764 144625146 192833528 289250292 385667056 578500584 771334112 1157001168 2314002336