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68461332 = 22319436983
BaseRepresentation
bin1000001010010…
…10001100010100
311202211012021220
410011022030110
5120011230312
610443210340
71460624502
oct405121424
9152735256
1068461332
1135710015
121ab169b0
1311250384
149141672
156024c8c
hex414a314

68461332 has 48 divisors (see below), whose sum is σ = 172085760. Its totient is φ = 21113568.

The previous prime is 68461331. The next prime is 68461357. The reversal of 68461332 is 23316486.

It is a junction number, because it is equal to n+sod(n) for n = 68461293 and 68461302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68461331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6313 + ... + 13295.

It is an arithmetic number, because the mean of its divisors is an integer number (3585120).

Almost surely, 268461332 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 68461332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86042880).

68461332 is an abundant number, since it is smaller than the sum of its proper divisors (103624428).

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

68461332 is a wasteful number, since it uses less digits than its factorization.

68461332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7050 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 68461332 is about 8274.1363295513. The cubic root of 68461332 is about 409.0864689260.

The spelling of 68461332 in words is "sixty-eight million, four hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3268 4902 6983 9804 13966 20949 27932 41898 83796 132677 265354 300269 398031 530708 600538 796062 900807 1201076 1592124 1801614 3603228 5705111 11410222 17115333 22820444 34230666 68461332