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2080031634 = 2321723479617
BaseRepresentation
bin111101111111010…
…1100001110010010
312100221221112222200
41323332230032102
513224442003014
6542222144030
7102354656112
oct17376541622
95327845880
102080031634
1197813a60a
124a0722016
13271c18c65
1415a36d042
15c2920a09
hex7bfac392

2080031634 has 96 divisors (see below), whose sum is σ = 4997790720. Its totient is φ = 621874176.

The previous prime is 2080031623. The next prime is 2080031659. The reversal of 2080031634 is 4361300802.

It is a happy number.

2080031634 is a `hidden beast` number, since 20 + 8 + 0 + 0 + 3 + 1 + 634 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2080031598 and 2080031607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3370894 + ... + 3371510.

It is an arithmetic number, because the mean of its divisors is an integer number (52060320).

Almost surely, 22080031634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2080031634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498895360).

2080031634 is an abundant number, since it is smaller than the sum of its proper divisors (2917759086).

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

2080031634 is a wasteful number, since it uses less digits than its factorization.

2080031634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2080031634 is about 45607.3638133142. The cubic root of 2080031634 is about 1276.5073310257.

The spelling of 2080031634 in words is "two billion, eighty million, thirty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 479 617 782 958 1173 1234 1437 1851 2346 2874 3519 3702 4311 5553 7038 8143 8622 10489 11017 11106 14191 16286 20978 22034 24429 28382 31467 33051 42573 48858 62934 66102 73287 85146 94401 99153 127719 146574 187289 188802 198306 241247 255438 295543 374578 482494 561867 591086 723741 886629 1123734 1447482 1685601 1773258 2171223 2659887 3371202 4342446 5024231 5319774 6797489 10048462 13594978 15072693 20392467 30145386 40784934 45218079 61177401 90436158 115557313 122354802 231114626 346671939 693343878 1040015817 2080031634