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2034699264 = 21035131737
BaseRepresentation
bin111100101000111…
…0000110000000000
312020210122102200000
41321101300300000
513131340334024
6533522400000
7101264441553
oct17121606000
95223572600
102034699264
11954597744
12489500000
13265706280
1415432c69a
15bd968cc9
hex79470c00

2034699264 has 528 divisors, whose sum is σ = 7135154208. Its totient is φ = 573308928.

The previous prime is 2034699211. The next prime is 2034699269. The reversal of 2034699264 is 4629964302.

It is not an unprimeable number, because it can be changed into a prime (2034699269) 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 47 ways as a sum of consecutive naturals, for example, 54991854 + ... + 54991890.

Almost surely, 22034699264 is an apocalyptic number.

2034699264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034699264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567577104).

2034699264 is an abundant number, since it is smaller than the sum of its proper divisors (5100454944).

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

2034699264 is a wasteful number, since it uses less digits than its factorization.

2034699264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2034699264 is about 45107.6408605017. The cubic root of 2034699264 is about 1267.1657015510.

The spelling of 2034699264 in words is "two billion, thirty-four million, six hundred ninety-nine thousand, two hundred sixty-four".