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314633652 = 2232353137157
BaseRepresentation
bin10010110000001…
…110110110110100
3210221001001020020
4102300032312310
51121021234102
651115405140
710540225164
oct2260166664
9727031206
10314633652
11151669a13
12894537b0
1350252778
142db025a4
151c94ebbc
hex12c0edb4

314633652 has 96 divisors (see below), whose sum is σ = 791223552. Its totient is φ = 97084416.

The previous prime is 314633633. The next prime is 314633659. The reversal of 314633652 is 256336413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314633659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003958 + ... + 2004114.

It is an arithmetic number, because the mean of its divisors is an integer number (8241912).

Almost surely, 2314633652 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 314633652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395611776).

314633652 is an abundant number, since it is smaller than the sum of its proper divisors (476589900).

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

314633652 is a wasteful number, since it uses less digits than its factorization.

314633652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 314633652 is about 17737.9156610916. The cubic root of 314633652 is about 680.1453351409.

The spelling of 314633652 in words is "three hundred fourteen million, six hundred thirty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 137 138 157 159 212 274 276 314 318 411 471 548 628 636 822 942 1219 1644 1884 2438 3151 3611 3657 4876 6302 7222 7261 7314 8321 9453 10833 12604 14444 14522 14628 16642 18906 21509 21666 21783 24963 29044 33284 37812 43018 43332 43566 49926 64527 86036 87132 99852 129054 167003 191383 258108 334006 382766 494707 501009 574149 668012 765532 989414 1002018 1139977 1148298 1484121 1978828 2004036 2279954 2296596 2968242 3419931 4559908 5936484 6839862 13679724 26219471 52438942 78658413 104877884 157316826 314633652