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68432328 = 23325379227
BaseRepresentation
bin1000001010000…
…11000111001000
311202202201111200
410011003013020
5120004313303
610442424200
71460444106
oct405030710
9152681450
1068432328
11356a0248
121ab02060
1311240103
149134c76
15601b3a3
hex41431c8

68432328 has 96 divisors (see below), whose sum is σ = 192067200. Its totient is φ = 21999744.

The previous prime is 68432311. The next prime is 68432339. The reversal of 68432328 is 82323486.

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 a junction number, because it is equal to n+sod(n) for n = 68432292 and 68432301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301351 + ... + 301577.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 268432328 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 68432328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033600).

68432328 is an abundant number, since it is smaller than the sum of its proper divisors (123634872).

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

68432328 is a wasteful number, since it uses less digits than its factorization.

68432328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 68432328 is about 8272.3834533948. The cubic root of 68432328 is about 409.0286902278.

The spelling of 68432328 in words is "sixty-eight million, four hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 79 106 158 159 212 227 237 316 318 424 454 474 477 632 636 681 711 908 948 954 1272 1362 1422 1816 1896 1908 2043 2724 2844 3816 4086 4187 5448 5688 8172 8374 12031 12561 16344 16748 17933 24062 25122 33496 35866 36093 37683 48124 50244 53799 71732 72186 75366 96248 100488 107598 108279 143464 144372 150732 161397 215196 216558 288744 301464 322794 430392 433116 645588 866232 950449 1291176 1900898 2851347 3801796 5702694 7603592 8554041 11405388 17108082 22810776 34216164 68432328