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234404100 = 2232527291283
BaseRepresentation
bin11011111100010…
…11100100000100
3121100001221222100
431332023210010
5440001412400
635132032100
75544254610
oct1576134404
9540057870
10234404100
111103512a7
1266602630
1339741a68
14231ba340
15158a3100
hexdf8b904

234404100 has 216 divisors, whose sum is σ = 869319360. Its totient is φ = 51690240.

The previous prime is 234404099. The next prime is 234404111. The reversal of 234404100 is 1404432.

234404100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182059 + ... + 183341.

Almost surely, 2234404100 is an apocalyptic number.

234404100 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 234404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434659680).

234404100 is an abundant number, since it is smaller than the sum of its proper divisors (634915260).

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

234404100 is a wasteful number, since it uses less digits than its factorization.

234404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 234404100 is about 15310.2612649164. The cubic root of 234404100 is about 616.5785346009.

Adding to 234404100 its reverse (1404432), we get a palindrome (235808532).

The spelling of 234404100 in words is "two hundred thirty-four million, four hundred four thousand, one hundred".