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312693376 = 2717279107
BaseRepresentation
bin10010101000110…
…101001010000000
3210210101110200011
4102220311022000
51120022142001
651010034304
710514564332
oct2250651200
9723343604
10312693376
11150564186
1288878994
134ca23588
142d759452
151c6b9d51
hex12a35280

312693376 has 96 divisors (see below), whose sum is σ = 676382400. Its totient is φ = 143929344.

The previous prime is 312693361. The next prime is 312693391. The reversal of 312693376 is 673396213.

It is an interprime number because it is at equal distance from previous prime (312693361) and next prime (312693391).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2922315 + ... + 2922421.

It is an arithmetic number, because the mean of its divisors is an integer number (7045650).

Almost surely, 2312693376 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 312693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338191200).

312693376 is an abundant number, since it is smaller than the sum of its proper divisors (363689024).

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

312693376 is a wasteful number, since it uses less digits than its factorization.

312693376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its digits is 122472, while the sum is 40.

The square root of 312693376 is about 17683.1381830262. The cubic root of 312693376 is about 678.7443494788.

The spelling of 312693376 in words is "three hundred twelve million, six hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 107 128 136 158 214 272 289 316 428 544 578 632 856 1088 1156 1264 1343 1712 1819 2176 2312 2528 2686 3424 3638 4624 5056 5372 6848 7276 8453 9248 10112 10744 13696 14552 16906 18496 21488 22831 29104 30923 33812 36992 42976 45662 58208 61846 67624 85952 91324 116416 123692 135248 143701 171904 182648 232832 247384 270496 287402 365296 494768 540992 574804 730592 989536 1081984 1149608 1461184 1979072 2299216 2442917 2922368 3958144 4598432 4885834 9196864 9771668 18393728 19543336 39086672 78173344 156346688 312693376