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314335056 = 24376713963
BaseRepresentation
bin10010101111000…
…101111101010000
3210220110212122010
4102233011331100
51120432210211
651105142520
710534542510
oct2257057520
9726425563
10314335056
11151485642
128932aa40
1350179899
142da65840
151c8e14a6
hex12bc5f50

314335056 has 80 divisors (see below), whose sum is σ = 941955584. Its totient is φ = 88463232.

The previous prime is 314335037. The next prime is 314335061. The reversal of 314335056 is 650533413.

It is a happy number.

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, 15531 + ... + 29493.

Almost surely, 2314335056 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 314335056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470977792).

314335056 is an abundant number, since it is smaller than the sum of its proper divisors (627620528).

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

314335056 is a wasteful number, since it uses less digits than its factorization.

314335056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 14042 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 314335056 is about 17729.4967779686. The cubic root of 314335056 is about 679.9301081569.

Adding to 314335056 its reverse (650533413), we get a palindrome (964868469).

The spelling of 314335056 in words is "three hundred fourteen million, three hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2814 3216 3752 5628 7504 11256 13963 22512 27926 41889 55852 83778 97741 111704 167556 195482 223408 293223 335112 390964 586446 670224 781928 935521 1172892 1563856 1871042 2345784 2806563 3742084 4691568 5613126 6548647 7484168 11226252 13097294 14968336 19645941 22452504 26194588 39291882 44905008 52389176 78583764 104778352 157167528 314335056