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34397352 = 23331131467
BaseRepresentation
bin1000001100110…
…1110010101000
32101201120022000
42003031302220
532301203402
63225131000
7565241553
oct203156250
971646260
1034397352
1118464270
12b629a60
137184682
1447d569a
153046c1c
hex20cdca8

34397352 has 128 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 10065600.

The previous prime is 34397339. The next prime is 34397359. The reversal of 34397352 is 25379343.

It is a super-2 number, since 2×343973522 = 2366355649223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34397359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73423 + ... + 73889.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 234397352 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 34397352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

34397352 is an abundant number, since it is smaller than the sum of its proper divisors (73429848).

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

34397352 is a wasteful number, since it uses less digits than its factorization.

34397352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 34397352 is about 5864.9255749754. The cubic root of 34397352 is about 325.2183211584.

Subtracting from 34397352 its reverse (25379343), we obtain a square (9018009 = 30032).

It can be divided in two parts, 34 and 397352, that added together give a triangular number (397386 = T891).

The spelling of 34397352 in words is "thirty-four million, three hundred ninety-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 467 558 594 682 744 792 837 934 1023 1116 1188 1364 1401 1674 1868 2046 2232 2376 2728 2802 3069 3348 3736 4092 4203 5137 5604 6138 6696 8184 8406 9207 10274 11208 12276 12609 14477 15411 16812 18414 20548 24552 25218 28954 30822 33624 36828 41096 43431 46233 50436 57908 61644 73656 86862 92466 100872 115816 123288 130293 138699 159247 173724 184932 260586 277398 318494 347448 369864 390879 477741 521172 554796 636988 781758 955482 1042344 1109592 1273976 1433223 1563516 1910964 2866446 3127032 3821928 4299669 5732892 8599338 11465784 17198676 34397352