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2314203936 = 253112518731
BaseRepresentation
bin1000100111101111…
…1111001100100000
312222021120201222220
42021323333030200
514214414011221
61021345231040
7111230260152
oct21173771440
95867521886
102314203936
11a88342740
12547032480
132ab5a9355
1417d4c8ad2
15d827a0c6
hex89eff320

2314203936 has 96 divisors (see below), whose sum is σ = 6654203136. Its totient is φ = 698400000.

The previous prime is 2314203929. The next prime is 2314203977. The reversal of 2314203936 is 6393024132.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2314203897 and 2314203906.

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, 260691 + ... + 269421.

It is an arithmetic number, because the mean of its divisors is an integer number (69314616).

Almost surely, 22314203936 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 2314203936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327101568).

2314203936 is an abundant number, since it is smaller than the sum of its proper divisors (4339999200).

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

2314203936 is a wasteful number, since it uses less digits than its factorization.

2314203936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8998 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 2314203936 is about 48106.1735747087. The cubic root of 2314203936 is about 1322.7178345750.

The spelling of 2314203936 in words is "two billion, three hundred fourteen million, two hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 251 264 352 502 528 753 1004 1056 1506 2008 2761 3012 4016 5522 6024 8032 8283 8731 11044 12048 16566 17462 22088 24096 26193 33132 34924 44176 52386 66264 69848 88352 96041 104772 132528 139696 192082 209544 265056 279392 288123 384164 419088 576246 768328 838176 1152492 1536656 2191481 2304984 3073312 4382962 4609968 6574443 8765924 9219936 13148886 17531848 24106291 26297772 35063696 48212582 52595544 70127392 72318873 96425164 105191088 144637746 192850328 210382176 289275492 385700656 578550984 771401312 1157101968 2314203936