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2320432640 = 2951396521
BaseRepresentation
bin1000101001001110…
…1111111000000000
312222201022012011122
42022103233320000
514223012321030
61022130531412
7111334231511
oct21223577000
95881265148
102320432640
11a90907429
12549136b68
132ac97a486
1418026aa08
15d8aaa8e5
hex8a4efe00

2320432640 has 80 divisors (see below), whose sum is σ = 5604485040. Its totient is φ = 921354240.

The previous prime is 2320432637. The next prime is 2320432649. The reversal of 2320432640 is 462340232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320432649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352580 + ... + 359100.

It is an arithmetic number, because the mean of its divisors is an integer number (70056063).

Almost surely, 22320432640 is an apocalyptic number.

2320432640 is a gapful number since it is divisible by the number (20) 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 2320432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802242520).

2320432640 is an abundant number, since it is smaller than the sum of its proper divisors (3284052400).

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

2320432640 is an equidigital number, since it uses as much as digits as its factorization.

2320432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2320432640 is about 48170.8692053610. The cubic root of 2320432640 is about 1323.9034744330.

Adding to 2320432640 its reverse (462340232), we get a palindrome (2782772872).

The spelling of 2320432640 in words is "two billion, three hundred twenty million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 256 278 320 512 556 640 695 1112 1280 1390 2224 2560 2780 4448 5560 6521 8896 11120 13042 17792 22240 26084 32605 35584 44480 52168 65210 71168 88960 104336 130420 177920 208672 260840 355840 417344 521680 834688 906419 1043360 1669376 1812838 2086720 3338752 3625676 4173440 4532095 7251352 8346880 9064190 14502704 16693760 18128380 29005408 36256760 58010816 72513520 116021632 145027040 232043264 290054080 464086528 580108160 1160216320 2320432640