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234160040 = 23517344353
BaseRepresentation
bin11011111010011…
…11111110101000
3121022121120012002
431331033332220
5434421110130
635122510132
75542220222
oct1575177650
9538546162
10234160040
111101a49a4
1266505348
133968794a
1423155412
1515855b45
hexdf4ffa8

234160040 has 32 divisors (see below), whose sum is σ = 557853480. Its totient is φ = 88154112.

The previous prime is 234160039. The next prime is 234160049. The reversal of 234160040 is 40061432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 183494116 + 50665924 = 13546^2 + 7118^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 234159994 and 234160021.

It is not an unprimeable number, because it can be changed into a prime (234160049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 171497 + ... + 172856.

Almost surely, 2234160040 is an apocalyptic number.

234160040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234160040 is an abundant number, since it is smaller than the sum of its proper divisors (323693440).

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

234160040 is a wasteful number, since it uses less digits than its factorization.

234160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344381 (or 344377 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 234160040 is about 15302.2887177049. The cubic root of 234160040 is about 616.3644677901.

The spelling of 234160040 in words is "two hundred thirty-four million, one hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 344353 688706 1377412 1721765 2754824 3443530 5854001 6887060 11708002 13774120 23416004 29270005 46832008 58540010 117080020 234160040