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9930438 = 23672139
BaseRepresentation
bin100101111000…
…011011000110
3200200112000000
4211320123012
510020233223
6552502130
7150256500
oct45703306
920615000
109930438
115672981
1233aa946
132098ccb
141466d70
15d12543
hex9786c6

9930438 has 84 divisors (see below), whose sum is σ = 26166420. Its totient is φ = 2816856.

The previous prime is 9930433. The next prime is 9930443. The reversal of 9930438 is 8340399.

9930438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9930433) and next prime (9930443).

It is a super-2 number, since 2×99304382 = 197227197743688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930433) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71373 + ... + 71511.

It is an arithmetic number, because the mean of its divisors is an integer number (311505).

Almost surely, 29930438 is an apocalyptic number.

9930438 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9930438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083210).

9930438 is an abundant number, since it is smaller than the sum of its proper divisors (16235982).

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

9930438 is a wasteful number, since it uses less digits than its factorization.

9930438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9930438 is about 3151.2597481007. The cubic root of 9930438 is about 214.9427502158.

The spelling of 9930438 in words is "nine million, nine hundred thirty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 139 147 162 189 243 278 294 378 417 441 486 567 729 834 882 973 1134 1251 1323 1458 1701 1946 2502 2646 2919 3402 3753 3969 5103 5838 6811 7506 7938 8757 10206 11259 11907 13622 17514 20433 22518 23814 26271 33777 35721 40866 52542 61299 67554 71442 78813 101331 122598 157626 183897 202662 236439 367794 472878 551691 709317 1103382 1418634 1655073 3310146 4965219 9930438