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312397696 = 27131941241
BaseRepresentation
bin10010100111101…
…100111110000000
3210202211110002001
4102213230332000
51114433211241
650555433344
710512223312
oct2247547600
9722743061
10312397696
11150382016
1288755854
134c94bb10
142d6bd7b2
151c65c431
hex129ecf80

312397696 has 128 divisors (see below), whose sum is σ = 725709600. Its totient is φ = 132710400.

The previous prime is 312397669. The next prime is 312397703. The reversal of 312397696 is 696793213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3123976962 = 195184640932216832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296136 + ... + 1296376.

Almost surely, 2312397696 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 312397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362854800).

312397696 is an abundant number, since it is smaller than the sum of its proper divisors (413311904).

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

312397696 is a wasteful number, since it uses less digits than its factorization.

312397696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its digits is 367416, while the sum is 46.

The square root of 312397696 is about 17674.7756987182. The cubic root of 312397696 is about 678.5303438584.

The spelling of 312397696 in words is "three hundred twelve million, three hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 41 52 64 76 82 104 128 152 164 208 241 247 304 328 416 482 494 533 608 656 779 832 964 988 1066 1216 1312 1558 1664 1928 1976 2132 2432 2624 3116 3133 3856 3952 4264 4579 5248 6232 6266 7712 7904 8528 9158 9881 10127 12464 12532 15424 15808 17056 18316 19762 20254 24928 25064 30848 31616 34112 36632 39524 40508 49856 50128 59527 68224 73264 79048 81016 99712 100256 119054 128453 146528 158096 162032 187739 200512 238108 256906 293056 316192 324064 375478 401024 476216 513812 586112 632384 648128 750956 952432 1027624 1264768 1296256 1501912 1904864 2055248 2440607 3003824 3809728 4110496 4881214 6007648 7619456 8220992 9762428 12015296 16441984 19524856 24030592 39049712 78099424 156198848 312397696