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2323835904 = 21031358189
BaseRepresentation
bin1000101010000010…
…1110110000000000
312222221201002120110
42022200232300000
514224400222104
61022331511320
7111405164535
oct21240566000
95887632513
102323835904
11a92821345
1254a2b8540
132b059c540
141808b4d8c
15d902de89
hex8a82ec00

2323835904 has 88 divisors (see below), whose sum is σ = 6670436080. Its totient is φ = 715014144.

The previous prime is 2323835903. The next prime is 2323835923. The reversal of 2323835904 is 4095383232.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2323835903) 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, 10842 + ... + 69030.

It is an arithmetic number, because the mean of its divisors is an integer number (75800410).

Almost surely, 22323835904 is an apocalyptic number.

2323835904 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 2323835904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335218040).

2323835904 is an abundant number, since it is smaller than the sum of its proper divisors (4346600176).

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

2323835904 is a wasteful number, since it uses less digits than its factorization.

2323835904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58225 (or 58207 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2323835904 is about 48206.1811804254. The cubic root of 2323835904 is about 1324.5503928911.

The spelling of 2323835904 in words is "two billion, three hundred twenty-three million, eight hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 58189 116378 174567 232756 349134 465512 698268 756457 931024 1396536 1512914 1862048 2269371 2793072 3025828 3724096 4538742 5586144 6051656 7448192 9077484 11172288 12103312 14896384 18154968 22344576 24206624 29792768 36309936 44689152 48413248 59585536 72619872 89378304 96826496 145239744 178756608 193652992 290479488 387305984 580958976 774611968 1161917952 2323835904