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34057352 = 2372283307
BaseRepresentation
bin1000000111101…
…0110010001000
32101002021220102
42001322302020
532204313402
63213544532
7562324400
oct201726210
971067812
1034057352
111825187a
12b4a5148
1370959a4
144747800
152ecb102
hex207ac88

34057352 has 48 divisors (see below), whose sum is σ = 74788560. Its totient is φ = 14497056.

The previous prime is 34057349. The next prime is 34057391. The reversal of 34057352 is 25375043.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110783 + ... + 111089.

It is an arithmetic number, because the mean of its divisors is an integer number (1558095).

Almost surely, 234057352 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 34057352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37394280).

34057352 is an abundant number, since it is smaller than the sum of its proper divisors (40731208).

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

34057352 is a wasteful number, since it uses less digits than its factorization.

34057352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 34057352 is about 5835.8677161156. The cubic root of 34057352 is about 324.1432329162.

The spelling of 34057352 in words is "thirty-four million, fifty-seven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 283 307 392 566 614 1132 1228 1981 2149 2264 2456 3962 4298 7924 8596 13867 15043 15848 17192 27734 30086 55468 60172 86881 110936 120344 173762 347524 608167 695048 1216334 2432668 4257169 4865336 8514338 17028676 34057352