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34381025744 = 2413374467389
BaseRepresentation
bin100000000001010001…
…001101000111010000
310021202001222001212212
4200001101031013100
51030403020310434
623443332411252
72324664616442
oct400121150720
9107661861785
1034381025744
111364321356a
1267b6176b28
13331bc13820
141942224492
15d635658ce
hex80144d1d0

34381025744 has 40 divisors (see below), whose sum is σ = 73676195880. Its totient is φ = 15439292928.

The previous prime is 34381025741. The next prime is 34381025821. The reversal of 34381025744 is 44752018343.

It can be written as a sum of positive squares in 4 ways, for example, as 1467809344 + 32913216400 = 38312^2 + 181420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381025741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2225999 + ... + 2241390.

It is an arithmetic number, because the mean of its divisors is an integer number (1841904897).

Almost surely, 234381025744 is an apocalyptic number.

It is an amenable number.

34381025744 is an abundant number, since it is smaller than the sum of its proper divisors (39295170136).

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

34381025744 is a wasteful number, since it uses less digits than its factorization.

34381025744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467447 (or 4467441 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 34381025744 in words is "thirty-four billion, three hundred eighty-one million, twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 4467389 8934778 17869556 35739112 58076057 71478224 116152114 165293393 232304228 330586786 464608456 661173572 929216912 1322347144 2148814109 2644694288 4297628218 8595256436 17190512872 34381025744