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234090972 = 22341275689
BaseRepresentation
bin11011111001111…
…11000111011100
3121022111001110000
431330333013130
5434411402342
635121214300
75541511653
oct1574770734
9538431400
10234090972
11110158015
1266491390
133966238b
142313819a
151584044c
hexdf3f1dc

234090972 has 60 divisors (see below), whose sum is σ = 616887040. Its totient is φ = 77402304.

The previous prime is 234090953. The next prime is 234091007. The reversal of 234090972 is 279090432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38304 + ... + 43992.

Almost surely, 2234090972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234090972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308443520).

234090972 is an abundant number, since it is smaller than the sum of its proper divisors (382796068).

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

234090972 is a wasteful number, since it uses less digits than its factorization.

234090972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 234090972 is about 15300.0317646729. The cubic root of 234090972 is about 616.3038607406.

The spelling of 234090972 in words is "two hundred thirty-four million, ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 2286 3429 4572 5689 6858 10287 11378 13716 17067 20574 22756 34134 41148 51201 68268 102402 153603 204804 307206 460809 614412 722503 921618 1445006 1843236 2167509 2890012 4335018 6502527 8670036 13005054 19507581 26010108 39015162 58522743 78030324 117045486 234090972