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314029056 = 2103119293
BaseRepresentation
bin10010101101111…
…011010000000000
3210212220022212210
4102231323100000
51120342412211
651054422120
710532126415
oct2255732000
9725808783
10314029056
11151296750
1289201940
13500a0513
142d9c610c
151c8809a6
hex12b7b400

314029056 has 88 divisors (see below), whose sum is σ = 913191264. Its totient is φ = 95150080.

The previous prime is 314029007. The next prime is 314029087. The reversal of 314029056 is 650920413.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×3140290562 = 197228496024502272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29146 + ... + 38438.

Almost surely, 2314029056 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 314029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456595632).

314029056 is an abundant number, since it is smaller than the sum of its proper divisors (599162208).

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

314029056 is a wasteful number, since it uses less digits than its factorization.

314029056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 314029056 is about 17720.8649901747. The cubic root of 314029056 is about 679.7094029364.

Adding to 314029056 its reverse (650920413), we get a palindrome (964949469).

The spelling of 314029056 in words is "three hundred fourteen million, twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 9293 11264 16896 18586 27879 33792 37172 55758 74344 102223 111516 148688 204446 223032 297376 306669 408892 446064 594752 613338 817784 892128 1189504 1226676 1635568 1784256 2379008 2453352 3271136 3568512 4758016 4906704 6542272 7137024 9516032 9813408 13084544 14274048 19626816 26169088 28548096 39253632 52338176 78507264 104676352 157014528 314029056