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234142416 = 24321625989
BaseRepresentation
bin11011111010010…
…11101011010000
3121022120200000100
431331023223100
5434420024131
635122252400
75542114644
oct1575135320
9538520010
10234142416
11110192732
12664b7100
133967c911
142314cc24
15158507e6
hexdf4bad0

234142416 has 30 divisors (see below), whose sum is σ = 655273970. Its totient is φ = 78047424.

The previous prime is 234142409. The next prime is 234142423. The reversal of 234142416 is 614241432.

It is a happy number.

234142416 is a `hidden beast` number, since 2 + 3 + 414 + 241 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (234142409) and next prime (234142423).

It can be written as a sum of positive squares in only one way, i.e., 156350016 + 77792400 = 12504^2 + 8820^2 .

It is a super-3 number, since 3×2341424163 (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 234142416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 812851 + ... + 813138.

Almost surely, 2234142416 is an apocalyptic number.

It is an amenable number.

234142416 is an abundant number, since it is smaller than the sum of its proper divisors (421131554).

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

234142416 is a wasteful number, since it uses less digits than its factorization.

234142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626003 (or 1625994 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 234142416 is about 15301.7128452994. The cubic root of 234142416 is about 616.3490038935.

Adding to 234142416 its reverse (614241432), we get a palindrome (848383848).

The spelling of 234142416 in words is "two hundred thirty-four million, one hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1625989 3251978 4877967 6503956 9755934 13007912 14633901 19511868 26015824 29267802 39023736 58535604 78047472 117071208 234142416