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238164432 = 24311451069
BaseRepresentation
bin11100011001000…
…01100111010000
3121121011000011220
432030201213100
5441432230212
635344405040
75621235642
oct1614414720
9547130156
10238164432
1111248a510
1267916780
133a45a4cc
14238b8892
1515d9738c
hexe3219d0

238164432 has 40 divisors (see below), whose sum is σ = 671192160. Its totient is φ = 72170880.

The previous prime is 238164397. The next prime is 238164439. The reversal of 238164432 is 234461832.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 238164393 and 238164402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238164439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225007 + ... + 226062.

It is an arithmetic number, because the mean of its divisors is an integer number (16779804).

Almost surely, 2238164432 is an apocalyptic number.

238164432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

238164432 is an abundant number, since it is smaller than the sum of its proper divisors (433027728).

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

238164432 is a wasteful number, since it uses less digits than its factorization.

238164432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451091 (or 451085 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 238164432 is about 15432.5769721068. The cubic root of 238164432 is about 619.8581291762.

The spelling of 238164432 in words is "two hundred thirty-eight million, one hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 451069 902138 1353207 1804276 2706414 3608552 4961759 5412828 7217104 9923518 10825656 14885277 19847036 21651312 29770554 39694072 59541108 79388144 119082216 238164432