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234083540 = 225174631487
BaseRepresentation
bin11011111001111…
…01010011010100
3121022110200020202
431330331103110
5434411133130
635121120032
75541451205
oct1574752324
9538420222
10234083540
11110152479
1266489018
133965bb92
14231355ac
151583d145
hexdf3d4d4

234083540 has 48 divisors (see below), whose sum is σ = 521966592. Its totient is φ = 87876096.

The previous prime is 234083537. The next prime is 234083561. The reversal of 234083540 is 45380432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156677 + ... + 158163.

It is an arithmetic number, because the mean of its divisors is an integer number (10874304).

Almost surely, 2234083540 is an apocalyptic number.

234083540 is a gapful number since it is divisible by the number (20) 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 234083540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260983296).

234083540 is an abundant number, since it is smaller than the sum of its proper divisors (287883052).

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

234083540 is a wasteful number, since it uses less digits than its factorization.

234083540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 234083540 is about 15299.7888874324. The cubic root of 234083540 is about 616.2973384633.

The spelling of 234083540 in words is "two hundred thirty-four million, eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 463 926 1487 1852 2315 2974 4630 5948 7435 7871 9260 14870 15742 25279 29740 31484 39355 50558 78710 101116 126395 157420 252790 505580 688481 1376962 2753924 3442405 6884810 11704177 13769620 23408354 46816708 58520885 117041770 234083540