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314146344 = 23379223743
BaseRepresentation
bin10010101110010…
…111111000101000
3210220010021202210
4102232113320220
51120410140334
651101125120
710533125361
oct2256277050
9726107683
10314146344
11151366886
12892597a0
1350111a15
142da16b68
151c8a55e9
hex12b97e28

314146344 has 64 divisors (see below), whose sum is σ = 799948800. Its totient is φ = 102787776.

The previous prime is 314146337. The next prime is 314146373. The reversal of 314146344 is 443641413.

It is a nude number because it is divisible by every one of its digits.

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, 422437 + ... + 423179.

It is an arithmetic number, because the mean of its divisors is an integer number (12499200).

Almost surely, 2314146344 is an apocalyptic number.

It is an amenable number.

314146344 is an abundant number, since it is smaller than the sum of its proper divisors (485802456).

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

314146344 is a wasteful number, since it uses less digits than its factorization.

314146344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 314146344 is about 17724.1740005000. The cubic root of 314146344 is about 679.7940148874.

Adding to 314146344 its reverse (443641413), we get a palindrome (757787757).

The spelling of 314146344 in words is "three hundred fourteen million, one hundred forty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 223 237 316 446 474 632 669 743 892 948 1338 1486 1784 1896 2229 2676 2972 4458 5352 5944 8916 17617 17832 35234 52851 58697 70468 105702 117394 140936 165689 176091 211404 234788 331378 352182 422808 469576 497067 662756 704364 994134 1325512 1408728 1988268 3976536 13089431 26178862 39268293 52357724 78536586 104715448 157073172 314146344