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38000430 = 23251332479
BaseRepresentation
bin1001000011110…
…1011100101110
32122111121210100
42100331130232
534212003210
63434251530
7640666266
oct220753456
978447710
1038000430
111a4a5316
1210886ba6
137b46680
1450927a6
1535095c0
hex243d72e

38000430 has 48 divisors (see below), whose sum is σ = 106404480. Its totient is φ = 9353664.

The previous prime is 38000401. The next prime is 38000441. The reversal of 38000430 is 3400083.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 15070 + ... + 17409.

It is an arithmetic number, because the mean of its divisors is an integer number (2216760).

Almost surely, 238000430 is an apocalyptic number.

38000430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38000430 is an abundant number, since it is smaller than the sum of its proper divisors (68404050).

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

38000430 is a wasteful number, since it uses less digits than its factorization.

38000430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32505 (or 32502 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38000430 is about 6164.4488804759. The cubic root of 38000430 is about 336.1988087886.

The spelling of 38000430 in words is "thirty-eight million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 32479 64958 97437 162395 194874 292311 324790 422227 487185 584622 844454 974370 1266681 1461555 2111135 2533362 2923110 3800043 4222270 6333405 7600086 12666810 19000215 38000430