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3132264 = 233196869
BaseRepresentation
bin1011111100101101101000
312220010122210
423330231220
51300213024
6151045120
735423652
oct13745550
95803583
103132264
11184a353
1210707a0
13858915
145b76d2
1541d129
hex2fcb68

3132264 has 32 divisors (see below), whose sum is σ = 8244000. Its totient is φ = 988992.

The previous prime is 3132263. The next prime is 3132281. The reversal of 3132264 is 4622313.

It is a happy number.

It is a super-2 number, since 2×31322642 = 19622155531392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3132264.

It is not an unprimeable number, because it can be changed into a prime (3132263) 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, 2979 + ... + 3890.

It is an arithmetic number, because the mean of its divisors is an integer number (257625).

Almost surely, 23132264 is an apocalyptic number.

It is an amenable number.

3132264 is an abundant number, since it is smaller than the sum of its proper divisors (5111736).

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

3132264 is a wasteful number, since it uses less digits than its factorization.

3132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6893 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 3132264 is about 1769.8203298640. The cubic root of 3132264 is about 146.3140795971.

Adding to 3132264 its reverse (4622313), we get a palindrome (7754577).

The spelling of 3132264 in words is "three million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 6869 13738 20607 27476 41214 54952 82428 130511 164856 261022 391533 522044 783066 1044088 1566132 3132264