Search a number
-
+
880622064 = 243371272293
BaseRepresentation
bin110100011111010…
…011100111110000
32021101001020101000
4310133103213300
53300414401224
6223214442000
730552110160
oct6437234760
92241036330
10880622064
114120a7433
12206b03300
131105a045a
1484d545a0
15524a00c9
hex347d39f0

880622064 has 160 divisors (see below), whose sum is σ = 2912829440. Its totient is φ = 249516288.

The previous prime is 880622063. The next prime is 880622077. The reversal of 880622064 is 460226088.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880622063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382902 + ... + 385194.

It is an arithmetic number, because the mean of its divisors is an integer number (18205184).

Almost surely, 2880622064 is an apocalyptic number.

880622064 is a gapful number since it is divisible by the number (84) 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 880622064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456414720).

880622064 is an abundant number, since it is smaller than the sum of its proper divisors (2032207376).

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

880622064 is a wasteful number, since it uses less digits than its factorization.

880622064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 880622064 is about 29675.2769827006. The cubic root of 880622064 is about 958.5097189705.

The spelling of 880622064 in words is "eight hundred eighty million, six hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 127 144 168 189 216 252 254 336 378 381 432 504 508 756 762 889 1008 1016 1143 1512 1524 1778 2032 2286 2293 2667 3024 3048 3429 3556 4572 4586 5334 6096 6858 6879 7112 8001 9144 9172 10668 13716 13758 14224 16002 16051 18288 18344 20637 21336 24003 27432 27516 32004 32102 36688 41274 42672 48006 48153 54864 55032 61911 64008 64204 82548 96012 96306 110064 123822 128016 128408 144459 165096 192024 192612 247644 256816 288918 291211 330192 384048 385224 433377 495288 577836 582422 770448 866754 873633 990576 1155672 1164844 1733508 1747266 2038477 2311344 2329688 2620899 3467016 3494532 4076954 4659376 5241798 6115431 6934032 6989064 7862697 8153908 10483596 12230862 13978128 15725394 16307816 18346293 20967192 24461724 31450788 32615632 36692586 41934384 48923448 55038879 62901576 73385172 97846896 110077758 125803152 146770344 220155516 293540688 440311032 880622064