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1640101344 = 25372348661
BaseRepresentation
bin110000111000001…
…1111010111100000
311020022010210002020
41201300133113200
511324331220334
6430425021440
755433426400
oct14160372740
94208123066
101640101344
11771881462
12399324880
13201a3678b
14117b72800
1598ec0e49
hex61c1f5e0

1640101344 has 72 divisors (see below), whose sum is σ = 5008180968. Its totient is φ = 468599040.

The previous prime is 1640101321. The next prime is 1640101369. The reversal of 1640101344 is 4431010461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169627 + ... + 179034.

It is an arithmetic number, because the mean of its divisors is an integer number (69558069).

Almost surely, 21640101344 is an apocalyptic number.

1640101344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1640101344 is an abundant number, since it is smaller than the sum of its proper divisors (3368079624).

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

1640101344 is a wasteful number, since it uses less digits than its factorization.

1640101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348688 (or 348673 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1640101344 is about 40498.1646991564. The cubic root of 1640101344 is about 1179.2979986146.

The spelling of 1640101344 in words is "one billion, six hundred forty million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 348661 697322 1045983 1394644 2091966 2440627 2789288 4183932 4881254 5578576 7321881 8367864 9762508 11157152 14643762 16735728 17084389 19525016 29287524 33471456 34168778 39050032 51253167 58575048 68337556 78100064 102506334 117150096 136675112 205012668 234300192 273350224 410025336 546700448 820050672 1640101344