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2328982240 = 25513286131
BaseRepresentation
bin1000101011010001…
…0111001011100000
320000022101120000111
42022310113023200
514232204412430
61023034101104
7111500010454
oct21264271340
96008346014
102328982240
11a95716912
1254bb7a794
132b1681b00
14181454664
15d96e8c2a
hex8ad172e0

2328982240 has 72 divisors (see below), whose sum is σ = 5958094968. Its totient is φ = 859921920.

The previous prime is 2328982237. The next prime is 2328982267. The reversal of 2328982240 is 422898232.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2328982193 and 2328982202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16026 + ... + 70105.

It is an arithmetic number, because the mean of its divisors is an integer number (82751319).

Almost surely, 22328982240 is an apocalyptic number.

2328982240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2328982240 is an abundant number, since it is smaller than the sum of its proper divisors (3629112728).

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

2328982240 is a wasteful number, since it uses less digits than its factorization.

2328982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86172 (or 86151 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 2328982240 is about 48259.5300432982. The cubic root of 2328982240 is about 1325.5274491986.

The spelling of 2328982240 in words is "two billion, three hundred twenty-eight million, nine hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 86131 172262 344524 430655 689048 861310 1119703 1378096 1722620 2239406 2756192 3445240 4478812 5598515 6890480 8957624 11197030 13780960 14556139 17915248 22394060 29112278 35830496 44788120 58224556 72780695 89576240 116449112 145561390 179152480 232898224 291122780 465796448 582245560 1164491120 2328982240