Search a number
-
+
2324251968 = 263172512837
BaseRepresentation
bin1000101010001001…
…0100010101000000
312222222111020022020
42022202110111000
514230002030333
61022344441440
7111411546543
oct21242242500
95888436266
102324251968
11a92a859a5
1254a479280
132b06b6a2c
1418098285a
15d90b23b3
hex8a894540

2324251968 has 112 divisors (see below), whose sum is σ = 6539569344. Its totient is φ = 726016000.

The previous prime is 2324251961. The next prime is 2324251973. The reversal of 2324251968 is 8691524232.

It is a super-3 number, since 3×23242519683 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324251961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817846 + ... + 820682.

It is an arithmetic number, because the mean of its divisors is an integer number (58389012).

Almost surely, 22324251968 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 2324251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269784672).

2324251968 is an abundant number, since it is smaller than the sum of its proper divisors (4215317376).

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

2324251968 is a wasteful number, since it uses less digits than its factorization.

2324251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3110 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 2324251968 is about 48210.4964504619. The cubic root of 2324251968 is about 1324.6294381810.

The spelling of 2324251968 in words is "two billion, three hundred twenty-four million, two hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 251 272 408 502 544 753 816 1004 1088 1506 1632 2008 2837 3012 3264 4016 4267 5674 6024 8032 8511 8534 11348 12048 12801 16064 17022 17068 22696 24096 25602 34044 34136 45392 48192 48229 51204 68088 68272 90784 96458 102408 136176 136544 144687 181568 192916 204816 272352 273088 289374 385832 409632 544704 578748 712087 771664 819264 1157496 1424174 1543328 2136261 2314992 2848348 3086656 4272522 4629984 5696696 8545044 9259968 11393392 12105479 17090088 22786784 24210958 34180176 36316437 45573568 48421916 68360352 72632874 96843832 136720704 145265748 193687664 290531496 387375328 581062992 774750656 1162125984 2324251968