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34074112 = 29611091
BaseRepresentation
bin1000000111111…
…0111000000000
32101010010220011
42001332320000
532210332422
63214154304
7562424302
oct201767000
971103804
1034074112
1118263426
12b4b2994
1370a04c7
14474d972
152ed1077
hex207ee00

34074112 has 40 divisors (see below), whose sum is σ = 69261192. Its totient is φ = 16742400.

The previous prime is 34074097. The next prime is 34074121. The reversal of 34074112 is 21147043.

It is a super-2 number, since 2×340741122 = 2322090217177088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30687 + ... + 31777.

Almost surely, 234074112 is an apocalyptic number.

34074112 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 34074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34630596).

34074112 is an abundant number, since it is smaller than the sum of its proper divisors (35187080).

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

34074112 is an equidigital number, since it uses as much as digits as its factorization.

34074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 34074112 is about 5837.3034870563. The cubic root of 34074112 is about 324.1963956878.

The spelling of 34074112 in words is "thirty-four million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1091 1952 2182 3904 4364 7808 8728 15616 17456 31232 34912 66551 69824 133102 139648 266204 279296 532408 558592 1064816 2129632 4259264 8518528 17037056 34074112