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2345625088 = 2919415881
BaseRepresentation
bin1000101111001111…
…0110011000000000
320001110201002201021
42023303312120000
514300440000323
61024430515224
7112061325052
oct21363663000
96043632637
102345625088
11aa4053934
12555665b14
132b4c5b151
141837478d2
15dadd505d
hex8bcf6600

2345625088 has 80 divisors (see below), whose sum is σ = 5054520240. Its totient is φ = 1083801600.

The previous prime is 2345625011. The next prime is 2345625097. The reversal of 2345625088 is 8805265432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395908 + ... + 401788.

It is an arithmetic number, because the mean of its divisors is an integer number (63181503).

Almost surely, 22345625088 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 2345625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527260120).

2345625088 is an abundant number, since it is smaller than the sum of its proper divisors (2708895152).

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

2345625088 is an equidigital number, since it uses as much as digits as its factorization.

2345625088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 2345625088 is about 48431.6537813856. The cubic root of 2345625088 is about 1328.6773532006.

The spelling of 2345625088 in words is "two billion, three hundred forty-five million, six hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 512 608 656 779 1216 1312 1558 2432 2624 3116 4864 5248 5881 6232 9728 10496 11762 12464 20992 23524 24928 47048 49856 94096 99712 111739 188192 199424 223478 241121 376384 398848 446956 482242 752768 893912 964484 1505536 1787824 1928968 3011072 3575648 3857936 4581299 7151296 7715872 9162598 14302592 15431744 18325196 28605184 30863488 36650392 57210368 61726976 73300784 123453952 146601568 293203136 586406272 1172812544 2345625088