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2340368856 = 233371579859
BaseRepresentation
bin1000101101111111…
…0011000111011000
320001002211001112000
42023133303013120
514243113300411
61024122121000
7111665543550
oct21337630730
96032731460
102340368856
11aa1093841
12553950160
132b3b3a857
14182b7a160
15da6e7956
hex8b7f31d8

2340368856 has 128 divisors (see below), whose sum is σ = 7477824000. Its totient is φ = 664350336.

The previous prime is 2340368843. The next prime is 2340368857. The reversal of 2340368856 is 6588630432.

It is a happy number.

2340368856 is a `hidden beast` number, since 234 + 0 + 368 + 8 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340368857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232455 + ... + 242313.

It is an arithmetic number, because the mean of its divisors is an integer number (58420500).

Almost surely, 22340368856 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 2340368856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738912000).

2340368856 is an abundant number, since it is smaller than the sum of its proper divisors (5137455144).

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

2340368856 is a wasteful number, since it uses less digits than its factorization.

2340368856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2340368856 is about 48377.3589192300. The cubic root of 2340368856 is about 1327.6841482228.

The spelling of 2340368856 in words is "two billion, three hundred forty million, three hundred sixty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 157 168 189 216 252 314 378 471 504 628 756 942 1099 1256 1413 1512 1884 2198 2826 3297 3768 4239 4396 5652 6594 8478 8792 9859 9891 11304 13188 16956 19718 19782 26376 29577 29673 33912 39436 39564 59154 59346 69013 78872 79128 88731 118308 118692 138026 177462 207039 236616 237384 266193 276052 354924 414078 532386 552104 621117 709848 828156 1064772 1242234 1547863 1656312 1863351 2129544 2484468 3095726 3726702 4643589 4968936 6191452 7453404 9287178 10835041 12382904 13930767 14906808 18574356 21670082 27861534 32505123 37148712 41792301 43340164 55723068 65010246 83584602 86680328 97515369 111446136 130020492 167169204 195030738 260040984 292546107 334338408 390061476 585092214 780122952 1170184428 2340368856