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34138296 = 2332474143
BaseRepresentation
bin1000001000111…
…0100010111000
32101020101221100
42002032202320
532214411141
63215411400
7563112363
oct202164270
971211840
1034138296
11182a7675
12b523b60
1370c379a
1447690da
152ee50b6
hex208e8b8

34138296 has 24 divisors (see below), whose sum is σ = 92458080. Its totient is φ = 11379408.

The previous prime is 34138289. The next prime is 34138301. The reversal of 34138296 is 69283143.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34138296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 237000 + ... + 237143.

It is an arithmetic number, because the mean of its divisors is an integer number (3852420).

Almost surely, 234138296 is an apocalyptic number.

34138296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34138296 is an abundant number, since it is smaller than the sum of its proper divisors (58319784).

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

34138296 is a wasteful number, since it uses less digits than its factorization.

34138296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474155 (or 474148 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34138296 is about 5842.7986444854. The cubic root of 34138296 is about 324.3998264714.

The spelling of 34138296 in words is "thirty-four million, one hundred thirty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 474143 948286 1422429 1896572 2844858 3793144 4267287 5689716 8534574 11379432 17069148 34138296