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314069392 = 247131911353
BaseRepresentation
bin10010101110000…
…101000110010000
3210212222101012201
4102232011012100
51120400210032
651055332544
710532355130
oct2256050620
9725871181
10314069392
11151313a8a
1289221154
13500b59a0
142d9d6ac0
151c88c8e7
hex12b85190

314069392 has 80 divisors (see below), whose sum is σ = 788421760. Its totient is φ = 117697536.

The previous prime is 314069387. The next prime is 314069429. The reversal of 314069392 is 293960413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21988 + ... + 33340.

It is an arithmetic number, because the mean of its divisors is an integer number (9855272).

Almost surely, 2314069392 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 314069392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394210880).

314069392 is an abundant number, since it is smaller than the sum of its proper divisors (474352368).

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

314069392 is a wasteful number, since it uses less digits than its factorization.

314069392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400 (or 11394 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 314069392 is about 17722.0030470599. The cubic root of 314069392 is about 679.7385038366.

The spelling of 314069392 in words is "three hundred fourteen million, sixty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 6916 11353 13832 22706 27664 45412 79471 90824 147589 158942 181648 215707 295178 317884 431414 590356 635768 862828 1033123 1180712 1271536 1509949 1725656 2066246 2361424 2804191 3019898 3451312 4132492 5608382 6039796 8264984 11216764 12079592 16529968 19629337 22433528 24159184 39258674 44867056 78517348 157034696 314069392