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38232630 = 23251812347
BaseRepresentation
bin1001000111011…
…0001000110110
32122221102022100
42101312020312
534241421010
63443242530
7642654252
oct221661066
978842270
1038232630
111a643817
1210979446
137bc8277
145113262
1535532c0
hex2476236

38232630 has 48 divisors (see below), whose sum is σ = 99996624. Its totient is φ = 10134720.

The previous prime is 38232629. The next prime is 38232631. The reversal of 38232630 is 3623283.

38232630 is a `hidden beast` number, since 3 + 8 + 23 + 2 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (38232629) and next prime (38232631).

It is a junction number, because it is equal to n+sod(n) for n = 38232594 and 38232603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38232631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15117 + ... + 17463.

It is an arithmetic number, because the mean of its divisors is an integer number (2083263).

Almost surely, 238232630 is an apocalyptic number.

38232630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38232630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49998312).

38232630 is an abundant number, since it is smaller than the sum of its proper divisors (61763994).

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

38232630 is a wasteful number, since it uses less digits than its factorization.

38232630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 38232630 is about 6183.2539976941. The cubic root of 38232630 is about 336.8821948799.

The spelling of 38232630 in words is "thirty-eight million, two hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2347 2715 3258 4694 5430 7041 8145 11735 14082 16290 21123 23470 35205 42246 70410 105615 211230 424807 849614 1274421 2124035 2548842 3823263 4248070 6372105 7646526 12744210 19116315 38232630