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2045035344 = 243115965647
BaseRepresentation
bin111100111100100…
…1100001101010000
312021112002120002210
41321321030031100
513142012112334
6534532112120
7101451341112
oct17171141520
95245076083
102045035344
1195a407360
12490a65640
132678b4ab1
1415585d3b2
15be80b5e9
hex79e4c350

2045035344 has 80 divisors (see below), whose sum is σ = 5861053440. Its totient is φ = 609194880.

The previous prime is 2045035339. The next prime is 2045035361. The reversal of 2045035344 is 4435305402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 63975.

It is an arithmetic number, because the mean of its divisors is an integer number (73263168).

Almost surely, 22045035344 is an apocalyptic number.

2045035344 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 2045035344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930526720).

2045035344 is an abundant number, since it is smaller than the sum of its proper divisors (3816018096).

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

2045035344 is a wasteful number, since it uses less digits than its factorization.

2045035344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65728 (or 65722 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2045035344 is about 45222.0670027366. The cubic root of 2045035344 is about 1269.3077724719.

The spelling of 2045035344 in words is "two billion, forty-five million, thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3894 5192 7788 10384 15576 31152 65647 131294 196941 262588 393882 525176 722117 787764 1050352 1444234 1575528 2166351 2888468 3151056 3873173 4332702 5776936 7746346 8665404 11553872 11619519 15492692 17330808 23239038 30985384 34661616 42604903 46478076 61970768 85209806 92956152 127814709 170419612 185912304 255629418 340839224 511258836 681678448 1022517672 2045035344