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2343325644 = 223211411011429
BaseRepresentation
bin1000101110101100…
…0100111111001100
320001022101021110200
42023223010333030
514244342410034
61024305333500
7112032640122
oct21353047714
96038337420
102343325644
11aa2823270
12554937290
132b463462a
14183309912
15daacda99
hex8bac4fcc

2343325644 has 144 divisors (see below), whose sum is σ = 6689723040. Its totient is φ = 685440000.

The previous prime is 2343325639. The next prime is 2343325669. The reversal of 2343325644 is 4465233432.

2343325644 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 3 + 2 + 5 + 644 = 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 = 2343325599 and 2343325608.

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 47 ways as a sum of consecutive naturals, for example, 1639122 + ... + 1640550.

It is an arithmetic number, because the mean of its divisors is an integer number (46456410).

Almost surely, 22343325644 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 2343325644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344861520).

2343325644 is an abundant number, since it is smaller than the sum of its proper divisors (4346397396).

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

2343325644 is a wasteful number, since it uses less digits than its factorization.

2343325644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1587 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 2343325644 is about 48407.9088992698. The cubic root of 2343325644 is about 1328.2430385434.

The spelling of 2343325644 in words is "two billion, three hundred forty-three million, three hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 101 123 132 164 198 202 246 303 369 396 404 451 492 606 738 902 909 1111 1212 1353 1429 1476 1804 1818 2222 2706 2858 3333 3636 4059 4141 4287 4444 5412 5716 6666 8118 8282 8574 9999 12423 12861 13332 15719 16236 16564 17148 19998 24846 25722 31438 37269 39996 45551 47157 49692 51444 58589 62876 74538 91102 94314 117178 136653 141471 144329 149076 175767 182204 188628 234356 273306 282942 288658 351534 409959 432987 527301 546612 565884 577316 644479 703068 819918 865974 1054602 1288958 1298961 1587619 1639836 1731948 1933437 2109204 2577916 2597922 3175238 3866874 4762857 5195844 5800311 5917489 6350476 7733748 9525714 11600622 11834978 14288571 17752467 19051428 23201244 23669956 28577142 35504934 53257401 57154284 65092379 71009868 106514802 130184758 195277137 213029604 260369516 390554274 585831411 781108548 1171662822 2343325644