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314233504 = 25137110639
BaseRepresentation
bin10010101110101…
…101001010100000
3210220021201022221
4102232231022200
51120420433004
651103040424
710533640444
oct2256551240
9726251287
10314233504
11151416312
12892a0114
13501425b0
142da3a824
151c8c1354
hex12bad2a0

314233504 has 48 divisors (see below), whose sum is σ = 675682560. Its totient is φ = 142974720.

The previous prime is 314233501. The next prime is 314233573. The reversal of 314233504 is 405332413.

It is a super-2 number, since 2×3142335042 = 197485390072236032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314233501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24217 + ... + 34855.

It is an arithmetic number, because the mean of its divisors is an integer number (14076720).

Almost surely, 2314233504 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 314233504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337841280).

314233504 is an abundant number, since it is smaller than the sum of its proper divisors (361449056).

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

314233504 is a wasteful number, since it uses less digits than its factorization.

314233504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 314233504 is about 17726.6326187463. The cubic root of 314233504 is about 679.8568787602.

Adding to 314233504 its reverse (405332413), we get a palindrome (719565917).

The spelling of 314233504 in words is "three hundred fourteen million, two hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 923 1136 1846 2272 3692 7384 10639 14768 21278 29536 42556 85112 138307 170224 276614 340448 553228 755369 1106456 1510738 2212912 3021476 4425824 6042952 9819797 12085904 19639594 24171808 39279188 78558376 157116752 314233504