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2345681280 = 27356131993
BaseRepresentation
bin1000101111010000…
…0100000110000000
320001110210221210110
42023310010012000
514300443300110
61024432031320
7112061650635
oct21364040600
96043727713
102345681280
11aa4092078
12555692540
132b4c7a8b7
1418376018c
15dade6a20
hex8bd04180

2345681280 has 128 divisors (see below), whose sum is σ = 7492813920. Its totient is φ = 624181248.

The previous prime is 2345681279. The next prime is 2345681291. The reversal of 2345681280 is 821865432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175964 + ... + 1177956.

Almost surely, 22345681280 is an apocalyptic number.

2345681280 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 2345681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746406960).

2345681280 is an abundant number, since it is smaller than the sum of its proper divisors (5147132640).

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

2345681280 is a wasteful number, since it uses less digits than its factorization.

2345681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2345681280 is about 48432.2338943807. The cubic root of 2345681280 is about 1328.6879630862.

The spelling of 2345681280 in words is "two billion, three hundred forty-five million, six hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 613 640 960 1226 1839 1920 1993 2452 3065 3678 3986 4904 5979 6130 7356 7972 9195 9808 9965 11958 12260 14712 15944 18390 19616 19930 23916 24520 29424 29895 31888 36780 39232 39860 47832 49040 58848 59790 63776 73560 78464 79720 95664 98080 117696 119580 127552 147120 159440 191328 196160 235392 239160 255104 294240 318880 382656 392320 478320 588480 637760 765312 956640 1176960 1221709 1275520 1913280 2443418 3665127 3826560 4886836 6108545 7330254 9773672 12217090 14660508 18325635 19547344 24434180 29321016 36651270 39094688 48868360 58642032 73302540 78189376 97736720 117284064 146605080 156378752 195473440 234568128 293210160 390946880 469136256 586420320 781893760 1172840640 2345681280