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68434336 = 255967541
BaseRepresentation
bin1000001010000…
…11100110100000
311202202211021001
410011003212200
5120004344321
610442441344
71460453005
oct405034640
9152684231
1068434336
11356a1803
121ab03254
1311240cb9
1491358ac
15601bc91
hex41439a0

68434336 has 48 divisors (see below), whose sum is σ = 139315680. Its totient is φ = 33073920.

The previous prime is 68434321. The next prime is 68434337. The reversal of 68434336 is 63343486.

It is a junction number, because it is equal to n+sod(n) for n = 68434295 and 68434304.

It is not an unprimeable number, because it can be changed into a prime (68434337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126226 + ... + 126766.

It is an arithmetic number, because the mean of its divisors is an integer number (2902410).

Almost surely, 268434336 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 68434336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69657840).

68434336 is an abundant number, since it is smaller than the sum of its proper divisors (70881344).

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

68434336 is a wasteful number, since it uses less digits than its factorization.

68434336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its digits is 124416, while the sum is 37.

The square root of 68434336 is about 8272.5048201860. The cubic root of 68434336 is about 409.0326908788.

The spelling of 68434336 in words is "sixty-eight million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 67 118 134 236 268 472 536 541 944 1072 1082 1888 2144 2164 3953 4328 7906 8656 15812 17312 31624 31919 36247 63248 63838 72494 126496 127676 144988 255352 289976 510704 579952 1021408 1159904 2138573 4277146 8554292 17108584 34217168 68434336