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68834430 = 23257372953
BaseRepresentation
bin1000001101001…
…01010001111110
311210112011002100
410012211101332
5120110200210
610455205530
71464040320
oct406452176
9153464070
1068834430
1135945365
121b0768a6
1311351142
1491db610
15609a5c0
hex41a547e

68834430 has 96 divisors (see below), whose sum is σ = 210135744. Its totient is φ = 15303168.

The previous prime is 68834419. The next prime is 68834453. The reversal of 68834430 is 3443886.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21834 + ... + 24786.

It is an arithmetic number, because the mean of its divisors is an integer number (2188914).

Almost surely, 268834430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68834430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105067872).

68834430 is an abundant number, since it is smaller than the sum of its proper divisors (141301314).

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

68834430 is a wasteful number, since it uses less digits than its factorization.

68834430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3007 counting only the distinct ones).

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

The square root of 68834430 is about 8296.6517342841. The cubic root of 68834430 is about 409.8282643834.

The spelling of 68834430 in words is "sixty-eight million, eight hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 2953 3330 3885 4662 5906 7770 8859 11655 14765 17718 20671 23310 26577 29530 41342 44295 53154 62013 88590 103355 109261 124026 132885 186039 206710 218522 265770 310065 327783 372078 546305 620130 655566 764827 930195 983349 1092610 1529654 1638915 1860390 1966698 2294481 3277830 3824135 4588962 4916745 6883443 7648270 9833490 11472405 13766886 22944810 34417215 68834430