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34075044 = 22329111039
BaseRepresentation
bin1000000111111…
…1000110100100
32101010012011200
42001333012210
532210400134
63214202500
7562430103
oct201770644
971105150
1034075044
11182640a3
12b4b3430
1370a0a63
14475003a
152ed1499
hex207f1a4

34075044 has 36 divisors (see below), whose sum is σ = 86311680. Its totient is φ = 11334960.

The previous prime is 34075031. The next prime is 34075057. The reversal of 34075044 is 44057043.

It is an interprime number because it is at equal distance from previous prime (34075031) and next prime (34075057).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×340750442 = 2322217247203872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34074999 and 34075017.

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, 32277 + ... + 33315.

Almost surely, 234075044 is an apocalyptic number.

It is an amenable number.

34075044 is an abundant number, since it is smaller than the sum of its proper divisors (52236636).

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

34075044 is a wasteful number, since it uses less digits than its factorization.

34075044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34075044 is about 5837.3833178917. The cubic root of 34075044 is about 324.1993514829.

The spelling of 34075044 in words is "thirty-four million, seventy-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 911 1039 1822 2078 2733 3117 3644 4156 5466 6234 8199 9351 10932 12468 16398 18702 32796 37404 946529 1893058 2839587 3786116 5679174 8518761 11358348 17037522 34075044