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67428834 = 231117193163
BaseRepresentation
bin1000000010011…
…10000111100010
311200212201222020
410001032013202
5114230210314
610405122310
71446064344
oct401160742
9150781866
1067428834
1135075310
121a6b9396
1310c7b425
148d53294
155dbdda9
hex404e1e2

67428834 has 64 divisors (see below), whose sum is σ = 164021760. Its totient is φ = 18213120.

The previous prime is 67428827. The next prime is 67428841. The reversal of 67428834 is 43882476.

It is an interprime number because it is at equal distance from previous prime (67428827) and next prime (67428841).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19737 + ... + 22899.

It is an arithmetic number, because the mean of its divisors is an integer number (2562840).

Almost surely, 267428834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67428834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82010880).

67428834 is an abundant number, since it is smaller than the sum of its proper divisors (96592926).

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

67428834 is a wasteful number, since it uses less digits than its factorization.

67428834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215.

The product of its digits is 258048, while the sum is 42.

The square root of 67428834 is about 8211.5061955770. The cubic root of 67428834 is about 407.0195001393.

It can be divided in two parts, 6742 and 8834, that added together give a triangular number (15576 = T176).

The spelling of 67428834 in words is "sixty-seven million, four hundred twenty-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1254 1938 3163 3553 6326 7106 9489 10659 18978 21318 34793 53771 60097 69586 104379 107542 120194 161313 180291 208758 322626 360582 591481 661067 1021649 1182962 1322134 1774443 1983201 2043298 3064947 3548886 3966402 6129894 11238139 22476278 33714417 67428834