Search a number
-
+
234403159104 = 2632201732
BaseRepresentation
bin1101101001001110000…
…1000101110001000000
3211102000221220020122100
43122103201011301000
512320024202042404
6255403333110400
722635504656262
oct3322341056100
9742027806570
10234403159104
11904565218a4
1239519188400
13191479b215a
14b4b9227b32
15616d90cd39
hex3693845c40

234403159104 has 63 divisors (see below), whose sum is σ = 671907640053. Its totient is φ = 78130513152.

The previous prime is 234403159073. The next prime is 234403159139. The reversal of 234403159104 is 401951304432.

The square root of 234403159104 is 484152.

It is a perfect power (a square), and thus also a powerful number.

234403159104 is a `hidden beast` number, since 2 + 34 + 4 + 0 + 31 + 591 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 233985038400 + 418120704 = 483720^2 + 20448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11609562 + ... + 11629734.

Almost surely, 2234403159104 is an apocalyptic number.

234403159104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

234403159104 is the 484152-nd square number.

It is an amenable number.

234403159104 is an abundant number, since it is smaller than the sum of its proper divisors (437504480949).

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

234403159104 is an frugal number, since it uses more digits than its factorization.

234403159104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40364 (or 20178 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 234403159104 by its sum of digits (36), we get a square (8438513727744 = 29049122).

234403159104 divided by its sum of digits (36) gives a square (6511198864 = 806922).

The spelling of 234403159104 in words is "two hundred thirty-four billion, four hundred three million, one hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20173 40346 60519 80692 121038 161384 181557 242076 322768 363114 484152 645536 726228 968304 1291072 1452456 1936608 2904912 3873216 5809824 11619648 406949929 813899858 1220849787 1627799716 2441699574 3255599432 3662549361 4883399148 6511198864 7325098722 9766798296 13022397728 14650197444 19533596592 26044795456 29300394888 39067193184 58600789776 78134386368 117201579552 234403159104