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3117508296 = 2337196071609
BaseRepresentation
bin1011100111010001…
…0110011011001000
322001021010211102020
42321310112123020
522341040231141
61233203004440
7140153245320
oct27164263310
98037124366
103117508296
11135a830141
12730069720
133a8b48286
14218074280
15133a56266
hexb9d166c8

3117508296 has 128 divisors (see below), whose sum is σ = 9397248000. Its totient is φ = 841923072.

The previous prime is 3117508271. The next prime is 3117508301. The reversal of 3117508296 is 6928057113.

3117508296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936740 + ... + 1938348.

It is an arithmetic number, because the mean of its divisors is an integer number (73416000).

Almost surely, 23117508296 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 3117508296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698624000).

3117508296 is an abundant number, since it is smaller than the sum of its proper divisors (6279739704).

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

3117508296 is a wasteful number, since it uses less digits than its factorization.

3117508296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 3117508296 is about 55834.6513914075. The cubic root of 3117508296 is about 1460.8396208903.

The spelling of 3117508296 in words is "three billion, one hundred seventeen million, five hundred eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 607 798 1064 1214 1596 1609 1821 2428 3192 3218 3642 4249 4827 4856 6436 7284 8498 9654 11263 11533 12747 12872 14568 16996 19308 22526 23066 25494 30571 33789 33992 34599 38616 45052 46132 50988 61142 67578 69198 80731 90104 91713 92264 101976 122284 135156 138396 161462 183426 213997 242193 244568 270312 276792 322924 366852 427994 484386 641991 645848 733704 855988 968772 976663 1283982 1711976 1937544 1953326 2567964 2929989 3906652 5135928 5859978 6836641 7813304 11719956 13673282 18556597 20509923 23439912 27346564 37113194 41019846 54693128 55669791 74226388 82039692 111339582 129896179 148452776 164079384 222679164 259792358 389688537 445358328 519584716 779377074 1039169432 1558754148 3117508296