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2157820344 = 233361389421
BaseRepresentation
bin1000000010011101…
…1011100110111000
312120101022122001000
42000213123212320
513404400222334
6554041325000
7104321112261
oct20047334670
95511278030
102157820344
11a080403a9
12502796760
13285083994
1416681b968
15c9689299
hex809db9b8

2157820344 has 128 divisors (see below), whose sum is σ = 6122376000. Its totient is φ = 703987200.

The previous prime is 2157820339. The next prime is 2157820349. The reversal of 2157820344 is 4430287512.

It is a happy number.

2157820344 is a `hidden beast` number, since 21 + 578 + 20 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2157820339) and next prime (2157820349).

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 = 2157820299 and 2157820308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157820349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5125254 + ... + 5125674.

Almost surely, 22157820344 is an apocalyptic number.

2157820344 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 2157820344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061188000).

2157820344 is an abundant number, since it is smaller than the sum of its proper divisors (3964555656).

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

2157820344 is a wasteful number, since it uses less digits than its factorization.

2157820344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

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

The square root of 2157820344 is about 46452.3448708459. The cubic root of 2157820344 is about 1292.2258596730.

The spelling of 2157820344 in words is "two billion, one hundred fifty-seven million, eight hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 389 421 488 549 732 778 842 1098 1167 1263 1464 1556 1647 1684 2196 2334 2526 3112 3294 3368 3501 3789 4392 4668 5052 6588 7002 7578 9336 10104 10503 11367 13176 14004 15156 21006 22734 23729 25681 28008 30312 42012 45468 47458 51362 71187 77043 84024 90936 94916 102724 142374 154086 163769 189832 205448 213561 231129 284748 308172 327538 427122 462258 491307 569496 616344 640683 655076 693387 854244 924516 982614 1281366 1310152 1386774 1473921 1708488 1849032 1965228 2562732 2773548 2947842 3930456 4421763 5125464 5547096 5895684 8843526 9989909 11791368 17687052 19979818 29969727 35374104 39959636 59939454 79919272 89909181 119878908 179818362 239757816 269727543 359636724 539455086 719273448 1078910172 2157820344