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238834428 = 223721723893
BaseRepresentation
bin11100011110001…
…01001011111100
3121122102001020120
432033011023330
5442120200203
635411014540
75630026200
oct1617051374
9548361216
10238834428
111128a7928
1267b9a450
133a633461
1423a10b00
1515e7ab53
hexe3c52fc

238834428 has 72 divisors (see below), whose sum is σ = 686426832. Its totient is φ = 64221696.

The previous prime is 238834423. The next prime is 238834433. The reversal of 238834428 is 824438832.

238834428 is digitally balanced in base 3, 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 (238834423) and next prime (238834433).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 238834428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238834423) 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, 1951 + ... + 21942.

It is an arithmetic number, because the mean of its divisors is an integer number (9533706).

Almost surely, 2238834428 is an apocalyptic number.

238834428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238834428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343213416).

238834428 is an abundant number, since it is smaller than the sum of its proper divisors (447592404).

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

238834428 is a wasteful number, since it uses less digits than its factorization.

238834428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931 (or 23922 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 238834428 is about 15454.2689247987. The cubic root of 238834428 is about 620.4388395044.

The spelling of 238834428 in words is "two hundred thirty-eight million, eight hundred thirty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 23893 47786 71679 95572 143358 167251 286716 334502 406181 501753 669004 812362 1003506 1170757 1218543 1624724 2007012 2341514 2437086 2843267 3512271 4683028 4874172 5686534 7024542 8529801 11373068 14049084 17059602 19902869 34119204 39805738 59708607 79611476 119417214 238834428