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834960940 = 2251153101709
BaseRepresentation
bin110001110001000…
…111111000101100
32011012010102002021
4301301013320230
53202222222230
6214504035524
726456023312
oct6161077054
92135112067
10834960940
1139934a570
121b3762ba4
13103ca3c38
147cc6a0b2
154d480c7a
hex31c47e2c

834960940 has 96 divisors (see below), whose sum is σ = 1970982720. Its totient is φ = 294528000.

The previous prime is 834960937. The next prime is 834960949. The reversal of 834960940 is 49069438.

834960940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (834960949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177306 + ... + 1178014.

It is an arithmetic number, because the mean of its divisors is an integer number (20531070).

Almost surely, 2834960940 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 834960940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985491360).

834960940 is an abundant number, since it is smaller than the sum of its proper divisors (1136021780).

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

834960940 is a wasteful number, since it uses less digits than its factorization.

834960940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 834960940 is about 28895.6906821761. The cubic root of 834960940 is about 941.6482850546.

The spelling of 834960940 in words is "eight hundred thirty-four million, nine hundred sixty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 101 106 110 202 212 220 265 404 505 530 583 709 1010 1060 1111 1166 1418 2020 2222 2332 2836 2915 3545 4444 5353 5555 5830 7090 7799 10706 11110 11660 14180 15598 21412 22220 26765 31196 37577 38995 53530 58883 71609 75154 77990 107060 117766 143218 150308 155980 187885 235532 286436 294415 358045 375770 413347 588830 716090 751540 787699 826694 1177660 1432180 1575398 1653388 2066735 3150796 3795277 3938495 4133470 7590554 7876990 8266940 15181108 15753980 18976385 37952770 41748047 75905540 83496094 166992188 208740235 417480470 834960940