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2315034936 = 23321912831319
BaseRepresentation
bin1000100111111100…
…1010000100111000
312222100010221220200
42021333022010320
514220122104221
61021415122200
7111240320664
oct21177120470
95870127820
102315034936
11a88860015
12547373360
132ab80a676
1417d6638a4
15d8391426
hex89fca138

2315034936 has 96 divisors (see below), whose sum is σ = 6610032000. Its totient is φ = 729940032.

The previous prime is 2315034923. The next prime is 2315034941. The reversal of 2315034936 is 6394305132.

It is a happy number.

2315034936 is a `hidden beast` number, since 231 + 50 + 349 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2315034936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1754485 + ... + 1755803.

It is an arithmetic number, because the mean of its divisors is an integer number (68854500).

Almost surely, 22315034936 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 2315034936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305016000).

2315034936 is an abundant number, since it is smaller than the sum of its proper divisors (4294997064).

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

2315034936 is a wasteful number, since it uses less digits than its factorization.

2315034936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2315034936 is about 48114.8099445483. The cubic root of 2315034936 is about 1322.8761391166.

The spelling of 2315034936 in words is "two billion, three hundred fifteen million, thirty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1283 1319 1368 2566 2638 3849 3957 5132 5276 7698 7914 10264 10552 11547 11871 15396 15828 23094 23742 24377 25061 30792 31656 46188 47484 48754 50122 73131 75183 92376 94968 97508 100244 146262 150366 195016 200488 219393 225549 292524 300732 438786 451098 585048 601464 877572 902196 1692277 1755144 1804392 3384554 5076831 6769108 10153662 13538216 15230493 20307324 30460986 32153263 40614648 60921972 64306526 96459789 121843944 128613052 192919578 257226104 289379367 385839156 578758734 771678312 1157517468 2315034936