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2730629632 = 29109113433
BaseRepresentation
bin1010001011000010…
…0001101000000000
321001022011100122211
42202300201220000
521043020122012
61130542511504
7124444653223
oct24260415000
97038140584
102730629632
111181407505
12642595594
1334694c1a3
141bc9275ba
1510ead56a7
hexa2c21a00

2730629632 has 80 divisors (see below), whose sum is σ = 5567534280. Its totient is φ = 1337720832.

The previous prime is 2730629623. The next prime is 2730629633. The reversal of 2730629632 is 2369260372.

It can be written as a sum of positive squares in 4 ways, for example, as 1217730816 + 1512898816 = 34896^2 + 38896^2 .

It is not an unprimeable number, because it can be changed into a prime (2730629633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6306088 + ... + 6306520.

Almost surely, 22730629632 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 2730629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783767140).

2730629632 is an abundant number, since it is smaller than the sum of its proper divisors (2836904648).

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

2730629632 is a wasteful number, since it uses less digits than its factorization.

2730629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 2730629632 is about 52255.4268186568. The cubic root of 2730629632 is about 1397.7224246508.

The spelling of 2730629632 in words is "two billion, seven hundred thirty million, six hundred twenty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 113 128 218 226 256 433 436 452 512 866 872 904 1732 1744 1808 3464 3488 3616 6928 6976 7232 12317 13856 13952 14464 24634 27712 27904 28928 47197 48929 49268 55424 55808 57856 94394 97858 98536 110848 188788 195716 197072 221696 377576 391432 394144 755152 782864 788288 1510304 1565728 1576576 3020608 3131456 3153152 5333261 6041216 6262912 6306304 10666522 12082432 12525824 21333044 24164864 25051648 42666088 85332176 170664352 341328704 682657408 1365314816 2730629632