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315132264 = 233217793259
BaseRepresentation
bin10010110010001…
…000100101101000
3210221222101012100
4102302020211220
51121133213024
651134213400
710544402646
oct2262104550
9727871170
10315132264
1115197a597
1289654260
13503986c5
142dbd2196
151c9ec7c9
hex12c88968

315132264 has 96 divisors (see below), whose sum is σ = 915408000. Its totient is φ = 97583616.

The previous prime is 315132263. The next prime is 315132317. The reversal of 315132264 is 462231513.

It is not an unprimeable number, because it can be changed into a prime (315132263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 95067 + ... + 98325.

It is an arithmetic number, because the mean of its divisors is an integer number (9535500).

Almost surely, 2315132264 is an apocalyptic number.

315132264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457704000).

315132264 is an abundant number, since it is smaller than the sum of its proper divisors (600275736).

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

315132264 is a wasteful number, since it uses less digits than its factorization.

315132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3360 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 315132264 is about 17751.9650743235. The cubic root of 315132264 is about 680.5044296390.

Adding to 315132264 its reverse (462231513), we get a palindrome (777363777).

The spelling of 315132264 in words is "three hundred fifteen million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 153 158 204 237 306 316 408 474 612 632 711 948 1224 1343 1422 1896 2686 2844 3259 4029 5372 5688 6518 8058 9777 10744 12087 13036 16116 19554 24174 26072 29331 32232 39108 48348 55403 58662 78216 96696 110806 117324 166209 221612 234648 257461 332418 443224 498627 514922 664836 772383 997254 1029844 1329672 1544766 1994508 2059688 2317149 3089532 3989016 4376837 4634298 6179064 8753674 9268596 13130511 17507348 18537192 26261022 35014696 39391533 52522044 78783066 105044088 157566132 315132264