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2321057844 = 22327151181337
BaseRepresentation
bin1000101001011000…
…1000100000110100
312222202110221210100
42022112020200310
514223142322334
61022152154100
7111342444330
oct21226104064
95882427710
102321057844
11a911a4126
12549398930
132acb38c11
141803907c0
15d8b80c99
hex8a588834

2321057844 has 144 divisors (see below), whose sum is σ = 6807114496. Its totient is φ = 653184000.

The previous prime is 2321057839. The next prime is 2321057861. The reversal of 2321057844 is 4487501232.

It is a happy number.

2321057844 is a `hidden beast` number, since 2 + 32 + 10 + 578 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2321057799 and 2321057808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6887244 + ... + 6887580.

Almost surely, 22321057844 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 2321057844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403557248).

2321057844 is an abundant number, since it is smaller than the sum of its proper divisors (4486056652).

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

2321057844 is a wasteful number, since it uses less digits than its factorization.

2321057844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2321057844 is about 48177.3582090176. The cubic root of 2321057844 is about 1324.0223653971.

The spelling of 2321057844 in words is "two billion, three hundred twenty-one million, fifty-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 181 252 302 337 362 453 543 604 674 724 906 1011 1057 1086 1267 1348 1359 1629 1812 2022 2114 2172 2359 2534 2718 3033 3171 3258 3801 4044 4228 4718 5068 5436 6066 6342 6516 7077 7602 9436 9513 11403 12132 12684 14154 15204 19026 21231 22806 27331 28308 38052 42462 45612 50887 54662 60997 81993 84924 101774 109324 121994 152661 163986 182991 191317 203548 243988 245979 305322 327972 356209 365982 382634 426979 457983 491958 548973 573951 610644 712418 731964 765268 853958 915966 983916 1068627 1097946 1147902 1280937 1424836 1707916 1721853 1831932 2137254 2195892 2295804 2561874 3205881 3443706 3842811 4274508 5123748 6411762 6887412 7685622 9210547 12823524 15371244 18421094 27631641 36842188 55263282 64473829 82894923 110526564 128947658 165789846 193421487 257895316 331579692 386842974 580264461 773685948 1160528922 2321057844