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234031104 = 2113212697
BaseRepresentation
bin11011111001100…
…00100000000000
3121022101000022200
431330300200000
5434402443404
635120033200
75541142266
oct1574604000
9538330280
10234031104
1111011703a
1266462800
1339641058
1423120436
151582c839
hexdf30800

234031104 has 72 divisors (see below), whose sum is σ = 675978030. Its totient is φ = 78004224.

The previous prime is 234031099. The next prime is 234031117. The reversal of 234031104 is 401130432.

It can be written as a sum of positive squares in only one way, i.e., 221414400 + 12616704 = 14880^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 5 ways as a sum of consecutive naturals, for example, 12084 + ... + 24780.

Almost surely, 2234031104 is an apocalyptic number.

234031104 is a gapful number since it is divisible by the number (24) 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 234031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337989015).

234031104 is an abundant number, since it is smaller than the sum of its proper divisors (441946926).

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

234031104 is a wasteful number, since it uses less digits than its factorization.

234031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12725 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234031104 is about 15298.0751730406. The cubic root of 234031104 is about 616.2513170293.

Adding to 234031104 its reverse (401130432), we get a palindrome (635161536).

The spelling of 234031104 in words is "two hundred thirty-four million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 12697 18432 25394 38091 50788 76182 101576 114273 152364 203152 228546 304728 406304 457092 609456 812608 914184 1218912 1625216 1828368 2437824 3250432 3656736 4875648 6500864 7313472 9751296 13001728 14626944 19502592 26003456 29253888 39005184 58507776 78010368 117015552 234031104