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34374912 = 2831113313
BaseRepresentation
bin1000001100100…
…0010100000000
32101200102111220
42003020110000
532244444122
63224435040
7565116255
oct203102400
971612456
1034374912
1118449420
12b618a80
1371773b0
1447cb42c
15304025c
hex20c8500

34374912 has 144 divisors (see below), whose sum is σ = 107825088. Its totient is φ = 9584640.

The previous prime is 34374859. The next prime is 34374913. The reversal of 34374912 is 21947343.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109668 + ... + 109980.

Almost surely, 234374912 is an apocalyptic number.

34374912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53912544).

34374912 is an abundant number, since it is smaller than the sum of its proper divisors (73450176).

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

34374912 is a wasteful number, since it uses less digits than its factorization.

34374912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 34374912 is about 5863.0121951093. The cubic root of 34374912 is about 325.1475842531.

The spelling of 34374912 in words is "thirty-four million, three hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 313 352 384 416 429 528 572 624 626 704 768 832 858 939 1056 1144 1248 1252 1408 1664 1716 1878 2112 2288 2496 2504 2816 3328 3432 3443 3756 4069 4224 4576 4992 5008 6864 6886 7512 8138 8448 9152 9984 10016 10329 12207 13728 13772 15024 16276 18304 20032 20658 24414 27456 27544 30048 32552 36608 40064 41316 44759 48828 54912 55088 60096 65104 80128 82632 89518 97656 109824 110176 120192 130208 134277 165264 179036 195312 220352 240384 260416 268554 330528 358072 390624 440704 520832 537108 661056 716144 781248 881408 1041664 1074216 1322112 1432288 1562496 2148432 2644224 2864576 3124992 4296864 5729152 8593728 11458304 17187456 34374912