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314125434 = 232711712129
BaseRepresentation
bin10010101110010…
…010110001111010
3210220002020002100
4102232102301322
51120404003214
651100444230
710533010410
oct2256226172
9726066070
10314125434
111513520a7
1289249676
135010534c
142da0d2b0
151c89e309
hex12b92c7a

314125434 has 48 divisors (see below), whose sum is σ = 778864320. Its totient is φ = 89631360.

The previous prime is 314125429. The next prime is 314125447. The reversal of 314125434 is 434521413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314125398 and 314125407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146482 + ... + 148610.

It is an arithmetic number, because the mean of its divisors is an integer number (16226340).

Almost surely, 2314125434 is an apocalyptic number.

314125434 is an abundant number, since it is smaller than the sum of its proper divisors (464738886).

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

314125434 is a wasteful number, since it uses less digits than its factorization.

314125434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3312 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 314125434 is about 17723.5841183436. The cubic root of 314125434 is about 679.7789318871.

Adding to 314125434 its reverse (434521413), we get a palindrome (748646847).

The spelling of 314125434 in words is "three hundred fourteen million, one hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1171 2129 2342 3513 4258 6387 7026 8197 10539 12774 14903 16394 19161 21078 24591 29806 38322 44709 49182 73773 89418 134127 147546 268254 2493059 4986118 7479177 14958354 17451413 22437531 34902826 44875062 52354239 104708478 157062717 314125434