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83268234 = 23272359487
BaseRepresentation
bin1001111011010…
…01001010001010
312210200110112200
410331221022022
5132304040414
612132421030
72030524350
oct475511212
9183613480
1083268234
1143003725
1223a77776
1314335b5a
14b0b77d0
15749c109
hex4f6928a

83268234 has 96 divisors (see below), whose sum is σ = 219248640. Its totient is φ = 22324896.

The previous prime is 83268221. The next prime is 83268287. The reversal of 83268234 is 43286238.

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, 170739 + ... + 171225.

It is an arithmetic number, because the mean of its divisors is an integer number (2283840).

Almost surely, 283268234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83268234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109624320).

83268234 is an abundant number, since it is smaller than the sum of its proper divisors (135980406).

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

83268234 is a wasteful number, since it uses less digits than its factorization.

83268234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

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

The square root of 83268234 is about 9125.1429577843. The cubic root of 83268234 is about 436.6764637262.

The spelling of 83268234 in words is "eighty-three million, two hundred sixty-eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 59 63 69 118 126 138 161 177 207 322 354 413 414 483 487 531 826 966 974 1062 1239 1357 1449 1461 2478 2714 2898 2922 3409 3717 4071 4383 6818 7434 8142 8766 9499 10227 11201 12213 18998 20454 22402 24426 28497 28733 30681 33603 56994 57466 61362 67206 78407 85491 86199 100809 156814 170982 172398 201131 201618 235221 258597 402262 470442 517194 603393 660859 705663 1206786 1321718 1411326 1810179 1982577 3620358 3965154 4626013 5947731 9252026 11895462 13878039 27756078 41634117 83268234