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2044354312 = 23711131715017
BaseRepresentation
bin111100111011010…
…0101111100001000
312021110210221220101
41321312211330020
513141323314222
6534505335144
7101442503440
oct17166457410
95243727811
102044354312
11959a91720
124907974b4
13267706b10
14155723120
15be724927
hex79da5f08

2044354312 has 128 divisors (see below), whose sum is σ = 5449731840. Its totient is φ = 691937280.

The previous prime is 2044354211. The next prime is 2044354339. The reversal of 2044354312 is 2134534402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128628 + ... + 143644.

It is an arithmetic number, because the mean of its divisors is an integer number (42576030).

Almost surely, 22044354312 is an apocalyptic number.

2044354312 is a gapful number since it is divisible by the number (22) 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 2044354312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724865920).

2044354312 is an abundant number, since it is smaller than the sum of its proper divisors (3405377528).

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

2044354312 is a wasteful number, since it uses less digits than its factorization.

2044354312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15071 (or 15067 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2044354312 is about 45214.5365120555. The cubic root of 2044354312 is about 1269.1668563766.

Adding to 2044354312 its reverse (2134534402), we get a palindrome (4178888714).

The spelling of 2044354312 in words is "two billion, forty-four million, three hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 17 22 26 28 34 44 52 56 68 77 88 91 104 119 136 143 154 182 187 221 238 286 308 364 374 442 476 572 616 728 748 884 952 1001 1144 1309 1496 1547 1768 2002 2431 2618 3094 4004 4862 5236 6188 8008 9724 10472 12376 15017 17017 19448 30034 34034 60068 68068 105119 120136 136136 165187 195221 210238 255289 330374 390442 420476 510578 660748 780884 840952 1021156 1156309 1321496 1366547 1561768 1787023 2042312 2147431 2312618 2733094 2808179 3318757 3574046 4294862 4625236 5466188 5616358 6637514 7148092 8589724 9250472 10932376 11232716 13275028 14296184 15032017 17179448 19657253 22465432 23231299 26550056 30064034 36506327 39314506 46462598 60128068 73012654 78629012 92925196 120256136 146025308 157258024 185850392 255544289 292050616 511088578 1022177156 2044354312