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834087232 = 261119127491
BaseRepresentation
bin110001101101110…
…010100101000000
32011010111000120201
4301231302211000
53202011242412
6214433214544
726445424126
oct6155624500
92133430521
10834087232
113989030a0
121b3401454
13103a59354
147cabd916
154d35be57
hex31b72940

834087232 has 112 divisors (see below), whose sum is σ = 1919508480. Its totient is φ = 355622400.

The previous prime is 834087229. The next prime is 834087283. The reversal of 834087232 is 232780438.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 834087191 and 834087200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698507 + ... + 1698997.

Almost surely, 2834087232 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 834087232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959754240).

834087232 is an abundant number, since it is smaller than the sum of its proper divisors (1085421248).

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

834087232 is a wasteful number, since it uses less digits than its factorization.

834087232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 834087232 is about 28880.5684154589. The cubic root of 834087232 is about 941.3197216710.

The spelling of 834087232 in words is "eight hundred thirty-four million, eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 127 152 176 209 254 304 352 418 491 508 608 704 836 982 1016 1216 1397 1672 1964 2032 2413 2794 3344 3928 4064 4826 5401 5588 6688 7856 8128 9329 9652 10802 11176 13376 15712 18658 19304 21604 22352 26543 31424 37316 38608 43208 44704 53086 62357 74632 77216 86416 89408 102619 106172 124714 149264 154432 172832 205238 212344 249428 298528 345664 410476 424688 498856 597056 685927 820952 849376 997712 1184783 1371854 1641904 1698752 1995424 2369566 2743708 3283808 3990848 4739132 5487416 6567616 9478264 10974832 13032613 18956528 21949664 26065226 37913056 43899328 52130452 75826112 104260904 208521808 417043616 834087232