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2034710688 = 253171279817
BaseRepresentation
bin111100101000111…
…0011100010100000
312020210200000100010
41321101303202200
513131341220223
6533522524520
7101264520063
oct17121634240
95223600303
102034710688
119545a528a
12489506740
1326570b52a
141543328da
15bd96c393
hex794738a0

2034710688 has 96 divisors (see below), whose sum is σ = 5700409344. Its totient is φ = 633249792.

The previous prime is 2034710681. The next prime is 2034710707. The reversal of 2034710688 is 8860174302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20347106882 = 8280095167722866688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2034710681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202356 + ... + 212172.

It is an arithmetic number, because the mean of its divisors is an integer number (59379264).

Almost surely, 22034710688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034710688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850204672).

2034710688 is an abundant number, since it is smaller than the sum of its proper divisors (3665698656).

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

2034710688 is a wasteful number, since it uses less digits than its factorization.

2034710688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2034710688 is about 45107.7674907548. The cubic root of 2034710688 is about 1267.1680730848.

The spelling of 2034710688 in words is "two billion, thirty-four million, seven hundred ten thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 127 136 204 254 272 381 408 508 544 762 816 1016 1524 1632 2032 2159 3048 4064 4318 6096 6477 8636 9817 12192 12954 17272 19634 25908 29451 34544 39268 51816 58902 69088 78536 103632 117804 157072 166889 207264 235608 314144 333778 471216 500667 667556 942432 1001334 1246759 1335112 2002668 2493518 2670224 3740277 4005336 4987036 5340448 7480554 8010672 9974072 14961108 16021344 19948144 21194903 29922216 39896288 42389806 59844432 63584709 84779612 119688864 127169418 169559224 254338836 339118448 508677672 678236896 1017355344 2034710688