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2324692944 = 243274749069
BaseRepresentation
bin1000101010001111…
…1111111111010000
320000000022122012200
42022203333333100
514230110133234
61022402123200
7111415364310
oct21243777720
96000278180
102324692944
11a93257242
1254a650500
132b080c672
14180a59440
15d914cd99
hex8a8fffd0

2324692944 has 120 divisors (see below), whose sum is σ = 7593680640. Its totient is φ = 650052864.

The previous prime is 2324692933. The next prime is 2324692949. The reversal of 2324692944 is 4492964232.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2324692944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324692949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22842 + ... + 71910.

It is an arithmetic number, because the mean of its divisors is an integer number (63280672).

Almost surely, 22324692944 is an apocalyptic number.

2324692944 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 2324692944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796840320).

2324692944 is an abundant number, since it is smaller than the sum of its proper divisors (5268987696).

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

2324692944 is a wasteful number, since it uses less digits than its factorization.

2324692944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49137 (or 49128 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2324692944 is about 48215.0696774359. The cubic root of 2324692944 is about 1324.7132060428.

The spelling of 2324692944 in words is "two billion, three hundred twenty-four million, six hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 11844 15792 23688 47376 49069 98138 147207 196276 294414 343483 392552 441621 588828 686966 785104 883242 1030449 1177656 1373932 1766484 2060898 2306243 2355312 2747864 3091347 3532968 4121796 4612486 5495728 6182694 6918729 7065936 8243592 9224972 12365388 13837458 16143701 16487184 18449944 20756187 24730776 27674916 32287402 36899888 41512374 48431103 49461552 55349832 64574804 83024748 96862206 110699664 129149608 145293309 166049496 193724412 258299216 290586618 332098992 387448824 581173236 774897648 1162346472 2324692944