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2044406640 = 243559144379
BaseRepresentation
bin111100111011011…
…0010101101110000
312021110220121200110
41321312302231300
513141332003030
6534510421320
7101443112133
oct17166625560
95243817613
102044406640
1195a017a71
12490801840
13267724893
1415573821a
15be7351b0
hex79db2b70

2044406640 has 80 divisors (see below), whose sum is σ = 6445123200. Its totient is φ = 535931136.

The previous prime is 2044406633. The next prime is 2044406701. The reversal of 2044406640 is 466044402.

2044406640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2044406598 and 2044406607.

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, 58030 + ... + 86349.

It is an arithmetic number, because the mean of its divisors is an integer number (80564040).

Almost surely, 22044406640 is an apocalyptic number.

2044406640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2044406640 is an abundant number, since it is smaller than the sum of its proper divisors (4400716560).

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

2044406640 is a wasteful number, since it uses less digits than its factorization.

2044406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144454 (or 144448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2044406640 is about 45215.1151718095. The cubic root of 2044406640 is about 1269.1776849621.

The spelling of 2044406640 in words is "two billion, forty-four million, four hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 144379 288758 433137 577516 721895 866274 1155032 1443790 1732548 2165685 2310064 2887580 3465096 4331370 5775160 6930192 8518361 8662740 11550320 17036722 17325480 25555083 34073444 34650960 42591805 51110166 68146888 85183610 102220332 127775415 136293776 170367220 204440664 255550830 340734440 408881328 511101660 681468880 1022203320 2044406640