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830744240 = 24583912377
BaseRepresentation
bin110001100001000…
…010011010110000
32010220012011212012
4301201002122300
53200132303430
6214233422052
726405131604
oct6141023260
92126164765
10830744240
11396a2a497
121b226a928
13103158851
147c48d504
154cdeb695
hex318426b0

830744240 has 40 divisors (see below), whose sum is σ = 1933938720. Its totient is φ = 331874816.

The previous prime is 830744209. The next prime is 830744251. The reversal of 830744240 is 42447038.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 830744197 and 830744206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60932 + ... + 73308.

It is an arithmetic number, because the mean of its divisors is an integer number (48348468).

Almost surely, 2830744240 is an apocalyptic number.

830744240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830744240 is an abundant number, since it is smaller than the sum of its proper divisors (1103194480).

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

830744240 is a wasteful number, since it uses less digits than its factorization.

830744240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13229 (or 13223 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 830744240 is about 28822.6341613670. The cubic root of 830744240 is about 940.0604457886.

The spelling of 830744240 in words is "eight hundred thirty million, seven hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 839 1678 3356 4195 6712 8390 12377 13424 16780 24754 33560 49508 61885 67120 99016 123770 198032 247540 495080 990160 10384303 20768606 41537212 51921515 83074424 103843030 166148848 207686060 415372120 830744240