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34329372 = 22371153701
BaseRepresentation
bin1000001011110…
…1001100011100
32101121010001020
42002331030130
532242014442
63223444140
7564536430
oct202751434
971533036
1034329372
1118418190
12b5b6650
13715c74c
1447b89c0
1530319ec
hex20bd31c

34329372 has 96 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 8736000.

The previous prime is 34329353. The next prime is 34329389. The reversal of 34329372 is 27392343.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent 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, 48622 + ... + 49322.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 234329372 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 34329372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

34329372 is an abundant number, since it is smaller than the sum of its proper divisors (67567332).

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

34329372 is a wasteful number, since it uses less digits than its factorization.

34329372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 34329372 is about 5859.1272387618. The cubic root of 34329372 is about 325.0039352581.

The spelling of 34329372 in words is "thirty-four million, three hundred twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 53 66 77 84 106 132 154 159 212 231 308 318 371 462 583 636 701 742 924 1113 1166 1402 1484 1749 2103 2226 2332 2804 3498 4081 4206 4452 4907 6996 7711 8162 8412 9814 12243 14721 15422 16324 19628 23133 24486 29442 30844 37153 46266 48972 53977 58884 74306 92532 107954 111459 148612 161931 215908 222918 260071 323862 408683 445836 520142 647724 780213 817366 1040284 1226049 1560426 1634732 2452098 2860781 3120852 4904196 5721562 8582343 11443124 17164686 34329372