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234050040 = 23335783373
BaseRepresentation
bin11011111001101…
…01000111111000
3121022101222022000
431330311013320
5434404100130
635120301000
75541251430
oct1574650770
9538358260
10234050040
1111012a294
1266471760
1339649863
14231272c0
1515833260
hexdf351f8

234050040 has 256 divisors, whose sum is σ = 904780800. Its totient is φ = 52710912.

The previous prime is 234050023. The next prime is 234050053. The reversal of 234050040 is 40050432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 234049995 and 234050022.

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 63 ways as a sum of consecutive naturals, for example, 627294 + ... + 627666.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2234050040 is an apocalyptic number.

234050040 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 234050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452390400).

234050040 is an abundant number, since it is smaller than the sum of its proper divisors (670730760).

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

234050040 is a wasteful number, since it uses less digits than its factorization.

234050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 234050040 is about 15298.6940619126. The cubic root of 234050040 is about 616.2679373560.

The spelling of 234050040 in words is "two hundred thirty-four million, fifty thousand, forty".