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831350940 = 223577192753
BaseRepresentation
bin110001100011010…
…110100010011100
32010221100000002120
4301203112202130
53200311212230
6214254422540
726413236450
oct6143264234
92127300076
10831350940
113973042a2
121b2501a50
1310330ba44
147c5aa660
154cebb310
hex318d689c

831350940 has 96 divisors (see below), whose sum is σ = 2664990720. Its totient is φ = 189689856.

The previous prime is 831350921. The next prime is 831350969. The reversal of 831350940 is 49053138.

It is a super-2 number, since 2×8313509402 = 1382288770877767200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300604 + ... + 303356.

It is an arithmetic number, because the mean of its divisors is an integer number (27760320).

Almost surely, 2831350940 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 831350940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332495360).

831350940 is an abundant number, since it is smaller than the sum of its proper divisors (1833639780).

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

831350940 is a wasteful number, since it uses less digits than its factorization.

831350940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 831350940 is about 28833.1569551445. The cubic root of 831350940 is about 940.2892349719.

The spelling of 831350940 in words is "eight hundred thirty-one million, three hundred fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 719 1438 2157 2753 2876 3595 4314 5033 5506 7190 8259 8628 10066 10785 11012 13765 14380 15099 16518 19271 20132 21570 25165 27530 30198 33036 38542 41295 43140 50330 55060 57813 60396 75495 77084 82590 96355 100660 115626 150990 165180 192710 231252 289065 301980 385420 578130 1156260 1979407 3958814 5938221 7917628 9897035 11876442 13855849 19794070 23752884 27711698 29691105 39588140 41567547 55423396 59382210 69279245 83135094 118764420 138558490 166270188 207837735 277116980 415675470 831350940