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34131948 = 2232844329
BaseRepresentation
bin1000001000110…
…0111111101100
32101020002020020
42002030333230
532214210243
63215322140
7563055024
oct202147754
971202206
1034131948
11182a2924
12b520350
1370c0926
144766a84
152ee3283
hex208cfec

34131948 has 12 divisors (see below), whose sum is σ = 79641240. Its totient is φ = 11377312.

The previous prime is 34131943. The next prime is 34131949. The reversal of 34131948 is 84913143.

34131948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (34131941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1422153 + ... + 1422176.

It is an arithmetic number, because the mean of its divisors is an integer number (6636770).

Almost surely, 234131948 is an apocalyptic number.

It is an amenable number.

34131948 is an abundant number, since it is smaller than the sum of its proper divisors (45509292).

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

34131948 is a wasteful number, since it uses less digits than its factorization.

34131948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844336 (or 2844334 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 34131948 is about 5842.2553864069. The cubic root of 34131948 is about 324.3797178935.

The spelling of 34131948 in words is "thirty-four million, one hundred thirty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 2844329 5688658 8532987 11377316 17065974 34131948