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234386628 = 22371272173
BaseRepresentation
bin11011111100001…
…11010011000100
3121100001002000020
431332013103010
5440000333003
635131415140
75544152640
oct1576072304
9540032006
10234386628
1111033a163
12665b44b0
1339736b18
14231b3c20
151589cd53
hexdf874c4

234386628 has 72 divisors (see below), whose sum is σ = 633632832. Its totient is φ = 66056256.

The previous prime is 234386611. The next prime is 234386651. The reversal of 234386628 is 826683432.

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 234386628.

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, 1354750 + ... + 1354922.

It is an arithmetic number, because the mean of its divisors is an integer number (8800456).

Almost surely, 2234386628 is an apocalyptic number.

234386628 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 234386628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316816416).

234386628 is an abundant number, since it is smaller than the sum of its proper divisors (399246204).

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

234386628 is a wasteful number, since it uses less digits than its factorization.

234386628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 312 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 234386628 is about 15309.6906565744. The cubic root of 234386628 is about 616.5632147212.

The spelling of 234386628 in words is "two hundred thirty-four million, three hundred eighty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 173 254 346 381 508 519 692 762 889 1038 1211 1524 1778 2076 2422 2667 3556 3633 4844 5334 7266 10668 14532 16129 21971 32258 43942 48387 64516 65913 87884 96774 112903 131826 153797 193548 225806 263652 307594 338709 451612 461391 615188 677418 922782 1354836 1845564 2790317 5580634 8370951 11161268 16741902 19532219 33483804 39064438 58596657 78128876 117193314 234386628