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68332464 = 2433367431
BaseRepresentation
bin1000001001010…
…10101110110000
311202120122112000
410010222232300
5114443114324
610440334000
71456550004
oct404525660
9152518460
1068332464
1135632212
121aa74300
1311206815
14910a704
155eeb9c9
hex412abb0

68332464 has 80 divisors (see below), whose sum is σ = 197130240. Its totient is φ = 22662720.

The previous prime is 68332409. The next prime is 68332499. The reversal of 68332464 is 46423386.

It is a happy number.

It is a super-2 number, since 2×683324642 = 9338651272622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 158329 + ... + 158759.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128).

Almost surely, 268332464 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 68332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98565120).

68332464 is an abundant number, since it is smaller than the sum of its proper divisors (128797776).

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

68332464 is a wasteful number, since it uses less digits than its factorization.

68332464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 68332464 is about 8266.3452625692. The cubic root of 68332464 is about 408.8296267733.

The spelling of 68332464 in words is "sixty-eight million, three hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 367 431 432 734 862 1101 1293 1468 1724 2202 2586 2936 3303 3448 3879 4404 5172 5872 6606 6896 7758 8808 9909 10344 11637 13212 15516 17616 19818 20688 23274 26424 31032 39636 46548 52848 62064 79272 93096 158177 158544 186192 316354 474531 632708 949062 1265416 1423593 1898124 2530832 2847186 3796248 4270779 5694372 7592496 8541558 11388744 17083116 22777488 34166232 68332464