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3230976 = 2837601
BaseRepresentation
bin1100010100110100000000
320002011001210
430110310000
51311342401
6153130120
736314520
oct14246400
96064053
103230976
111907531
1210b9940
13891828
14601680
1543c4d6
hex314d00

3230976 has 72 divisors (see below), whose sum is σ = 9843904. Its totient is φ = 921600.

The previous prime is 3230963. The next prime is 3230993. The reversal of 3230976 is 6790323.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5076 + ... + 5676.

Almost surely, 23230976 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 3230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921952).

3230976 is an abundant number, since it is smaller than the sum of its proper divisors (6612928).

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

3230976 is an equidigital number, since it uses as much as digits as its factorization.

3230976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3230976 is about 1797.4915855158. The cubic root of 3230976 is about 147.8352195752.

It can be divided in two parts, 32309 and 76, that added together give a triangular number (32385 = T254).

The spelling of 3230976 in words is "three million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 601 672 768 896 1202 1344 1792 1803 2404 2688 3606 4207 4808 5376 7212 8414 9616 12621 14424 16828 19232 25242 28848 33656 38464 50484 57696 67312 76928 100968 115392 134624 153856 201936 230784 269248 403872 461568 538496 807744 1076992 1615488 3230976