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934430940 = 223256185103
BaseRepresentation
bin110111101100100…
…100100011011100
32102010022000021100
4313230210203130
53403203242230
6232420033100
732104350312
oct6754444334
92363260240
10934430940
1143a509883
12220b32790
1311b790421
148c1600b2
155707d660
hex37b248dc

934430940 has 72 divisors (see below), whose sum is σ = 2880940608. Its totient is φ = 245093760.

The previous prime is 934430921. The next prime is 934430951. The reversal of 934430940 is 49034439.

934430940 is a `hidden beast` number, since 9 + 344 + 309 + 4 + 0 = 666.

It is a super-2 number, since 2×9344309402 = 1746322363258567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 934430895 and 934430904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31572 + ... + 53531.

It is an arithmetic number, because the mean of its divisors is an integer number (40013064).

Almost surely, 2934430940 is an apocalyptic number.

934430940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

934430940 is an abundant number, since it is smaller than the sum of its proper divisors (1946509668).

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

934430940 is a wasteful number, since it uses less digits than its factorization.

934430940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85179 (or 85174 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 934430940 is about 30568.4631605843. The cubic root of 934430940 is about 977.6477459754.

The spelling of 934430940 in words is "nine hundred thirty-four million, four hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 85103 170206 255309 340412 425515 510618 765927 851030 1021236 1276545 1531854 1702060 2553090 3063708 3829635 5106180 5191283 7659270 10382566 15318540 15573849 20765132 25956415 31147698 46721547 51912830 62295396 77869245 93443094 103825660 155738490 186886188 233607735 311476980 467215470 934430940