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34305492 = 22313297583
BaseRepresentation
bin1000001011011…
…1010111010100
32101112220021210
42002313113110
532240233432
63223141420
7564410004
oct202672724
971486253
1034305492
1118401251
12b5a4870
137151910
1447b0004
1530298cc
hex20b75d4

34305492 has 48 divisors (see below), whose sum is σ = 89187840. Its totient is φ = 10190208.

The previous prime is 34305451. The next prime is 34305493. The reversal of 34305492 is 29450343.

34305492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305493) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 733 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (1858080).

Almost surely, 234305492 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 34305492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44593920).

34305492 is an abundant number, since it is smaller than the sum of its proper divisors (54882348).

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

34305492 is a wasteful number, since it uses less digits than its factorization.

34305492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 34305492 is about 5857.0890380803. The cubic root of 34305492 is about 324.9285586559.

The spelling of 34305492 in words is "thirty-four million, three hundred five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 7583 15166 22749 30332 45498 90996 98579 197158 219907 295737 394316 439814 591474 659721 879628 1182948 1319442 2638884 2858791 5717582 8576373 11435164 17152746 34305492