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8080340736 = 283137111399
BaseRepresentation
bin1111000011010000…
…00011011100000000
3202212010120211200010
413201220003130000
5113022031400421
63413445424520
7404144522466
oct74150033400
922763524603
108080340736
113477161656
12169610b140
139ba092610
1456921c836
153245ba076
hex1e1a03700

8080340736 has 144 divisors (see below), whose sum is σ = 23488012800. Its totient is φ = 2451025920.

The previous prime is 8080340711. The next prime is 8080340747. The reversal of 8080340736 is 6370430808.

It is a super-2 number, since 2×80803407362 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8080340694 and 8080340703.

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, 703165 + ... + 714563.

It is an arithmetic number, because the mean of its divisors is an integer number (163111200).

Almost surely, 28080340736 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 8080340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11744006400).

8080340736 is an abundant number, since it is smaller than the sum of its proper divisors (15407672064).

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

8080340736 is a wasteful number, since it uses less digits than its factorization.

8080340736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 8080340736 is about 89890.7155161199. The cubic root of 8080340736 is about 2006.6727736202.

The spelling of 8080340736 in words is "eight billion, eighty million, three hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 256 284 312 384 416 426 568 624 768 832 852 923 1136 1248 1664 1704 1846 2272 2496 2769 3328 3408 3692 4544 4992 5538 6816 7384 9088 9984 11076 11399 13632 14768 18176 22152 22798 27264 29536 34197 44304 45596 54528 59072 68394 88608 91192 118144 136788 148187 177216 182384 236288 273576 296374 354432 364768 444561 547152 592748 708864 729536 809329 889122 1094304 1185496 1459072 1618658 1778244 2188608 2370992 2427987 2918144 3237316 3556488 4377216 4741984 4855974 6474632 7112976 8754432 9483968 9711948 10521277 12949264 14225952 18967936 19423896 21042554 25898528 28451904 31563831 37935872 38847792 42085108 51797056 56903808 63127662 77695584 84170216 103594112 113807616 126255324 155391168 168340432 207188224 252510648 310782336 336680864 505021296 621564672 673361728 1010042592 1346723456 2020085184 2693446912 4040170368 8080340736