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314132076 = 223229392969
BaseRepresentation
bin10010101110010…
…100011001101100
3210220002120012100
4102232110121230
51120404211301
651100535100
710533035646
oct2256243154
9726076170
10314132076
11151357095
1289251490
135010838b
142da11896
151c8a1286
hex12b9466c

314132076 has 36 divisors (see below), whose sum is σ = 794593800. Its totient is φ = 104639808.

The previous prime is 314132053. The next prime is 314132099. The reversal of 314132076 is 670231413.

It is an interprime number because it is at equal distance from previous prime (314132053) and next prime (314132099).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3141320762 = 197357922344139552, which contains 22 as substring.

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, 104320 + ... + 107288.

It is an arithmetic number, because the mean of its divisors is an integer number (22072050).

Almost surely, 2314132076 is an apocalyptic number.

314132076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314132076 is an abundant number, since it is smaller than the sum of its proper divisors (480461724).

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

314132076 is a wasteful number, since it uses less digits than its factorization.

314132076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 314132076 is about 17723.7714948032. The cubic root of 314132076 is about 679.7837230303.

Adding to 314132076 its reverse (670231413), we get a palindrome (984363489).

It can be divided in two parts, 31413 and 2076, that added together give a square (33489 = 1832).

The spelling of 314132076 in words is "three hundred fourteen million, one hundred thirty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2939 2969 5878 5938 8817 8907 11756 11876 17634 17814 26451 26721 35268 35628 52902 53442 105804 106884 8725891 17451782 26177673 34903564 52355346 78533019 104710692 157066038 314132076