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67430688 = 2531371761
BaseRepresentation
bin1000000010011…
…10100100100000
311200212211111220
410001032210200
5114230240223
610405135040
71446102633
oct401164440
9150784456
1067430688
1135076746
121a6ba480
1310c7c220
148d53c1a
155dbe6e3
hex404e920

67430688 has 96 divisors (see below), whose sum is σ = 193560192. Its totient is φ = 20428800.

The previous prime is 67430683. The next prime is 67430689. The reversal of 67430688 is 88603476.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (67430683) 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, 88228 + ... + 88988.

It is an arithmetic number, because the mean of its divisors is an integer number (2016252).

Almost surely, 267430688 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 67430688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96780096).

67430688 is an abundant number, since it is smaller than the sum of its proper divisors (126129504).

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

67430688 is a wasteful number, since it uses less digits than its factorization.

67430688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 67430688 is about 8211.6190851744. The cubic root of 67430688 is about 407.0232305277.

The spelling of 67430688 in words is "sixty-seven million, four hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 761 852 923 1136 1248 1522 1704 1846 2272 2283 2769 3044 3408 3692 4566 5538 6088 6816 7384 9132 9893 11076 12176 14768 18264 19786 22152 24352 29536 29679 36528 39572 44304 54031 59358 73056 79144 88608 108062 118716 158288 162093 216124 237432 316576 324186 432248 474864 648372 702403 864496 949728 1296744 1404806 1728992 2107209 2593488 2809612 4214418 5186976 5619224 8428836 11238448 16857672 22476896 33715344 67430688