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234002472 = 233114718859
BaseRepresentation
bin11011111001010…
…01100000101000
3121022022120001020
431330221200220
5434401034342
635115252440
75540662644
oct1574514050
9538276036
10234002472
111100a7580
126644a120
1339631002
1423113c24
15158240ec
hexdf29828

234002472 has 64 divisors (see below), whose sum is σ = 651801600. Its totient is φ = 69397440.

The previous prime is 234002459. The next prime is 234002497. The reversal of 234002472 is 274200432.

It is a super-2 number, since 2×2340024722 = 109514313804221568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979 + ... + 21837.

It is an arithmetic number, because the mean of its divisors is an integer number (10184400).

Almost surely, 2234002472 is an apocalyptic number.

234002472 is a gapful number since it is divisible by the number (22) 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 234002472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325900800).

234002472 is an abundant number, since it is smaller than the sum of its proper divisors (417799128).

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

234002472 is a wasteful number, since it uses less digits than its factorization.

234002472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18926 (or 18922 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 234002472 is about 15297.1393404126. The cubic root of 234002472 is about 616.2261847185.

The spelling of 234002472 in words is "two hundred thirty-four million, two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12408 18859 37718 56577 75436 113154 150872 207449 226308 414898 452616 622347 829796 886373 1244694 1659592 1772746 2489388 2659119 3545492 4978776 5318238 7090984 9750103 10636476 19500206 21272952 29250309 39000412 58500618 78000824 117001236 234002472