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314942992 = 24721322377
BaseRepresentation
bin10010110001011…
…010011000010000
3210221121202120021
4102301122120100
51121111133432
651130153224
710542654100
oct2261323020
9727552507
10314942992
11151860371
1289582814
1350330500
142db83200
151c9b1697
hex12c5a610

314942992 has 90 divisors (see below), whose sum is σ = 768952458. Its totient is φ = 124540416.

The previous prime is 314942977. The next prime is 314943019. The reversal of 314942992 is 299249413.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 802816 + 314140176 = 896^2 + 17724^2 .

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 17 ways as a sum of consecutive naturals, for example, 131308 + ... + 133684.

Almost surely, 2314942992 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 314942992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384476229).

314942992 is an abundant number, since it is smaller than the sum of its proper divisors (454009466).

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

314942992 is a wasteful number, since it uses less digits than its factorization.

314942992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2399 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The square root of 314942992 is about 17746.6332581704. The cubic root of 314942992 is about 680.3681628032.

The spelling of 314942992 in words is "three hundred fourteen million, nine hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2377 2548 2704 4732 4754 5096 8281 9464 9508 10192 16562 16639 18928 19016 30901 33124 33278 38032 61802 66248 66556 116473 123604 132496 133112 216307 232946 247208 266224 401713 432614 465892 494416 803426 865228 931784 1514149 1606852 1730456 1863568 2811991 3028298 3213704 3460912 5623982 6056596 6427408 11247964 12113192 19683937 22495928 24226384 39367874 44991856 78735748 157471496 314942992