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34374048 = 2532912347
BaseRepresentation
bin1000001100100…
…0000110100000
32101200101022220
42003020012200
532244432143
63224431040
7565113612
oct203100640
971611286
1034374048
1118448805
12b618480
137176b97
1447cadb2
15303ed83
hex20c81a0

34374048 has 48 divisors (see below), whose sum is σ = 93350880. Its totient is φ = 11062016.

The previous prime is 34374047. The next prime is 34374089. The reversal of 34374048 is 84047343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3390 + ... + 8957.

It is an arithmetic number, because the mean of its divisors is an integer number (1944810).

Almost surely, 234374048 is an apocalyptic number.

It is an amenable number.

34374048 is an abundant number, since it is smaller than the sum of its proper divisors (58976832).

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

34374048 is a wasteful number, since it uses less digits than its factorization.

34374048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12389 (or 12381 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 34374048 is about 5862.9385123844. The cubic root of 34374048 is about 325.1448600777.

The spelling of 34374048 in words is "thirty-four million, three hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 12347 24694 37041 49388 74082 98776 148164 197552 296328 358063 395104 592656 716126 1074189 1185312 1432252 2148378 2864504 4296756 5729008 8593512 11458016 17187024 34374048