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234234660 = 2235111918679
BaseRepresentation
bin11011111011000…
…10001100100100
3121022202100112210
431331202030210
5434431002120
635124243420
75542650612
oct1575421444
9538670483
10234234660
11110245a70
1266540570
13396b28ba
14231746b2
151586cce0
hexdf62324

234234660 has 96 divisors (see below), whose sum is σ = 753177600. Its totient is φ = 53792640.

The previous prime is 234234629. The next prime is 234234703. The reversal of 234234660 is 66432432.

It is a happy number.

234234660 is digitally balanced in base 2, because in such base 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3201 + ... + 21879.

It is an arithmetic number, because the mean of its divisors is an integer number (7845600).

Almost surely, 2234234660 is an apocalyptic number.

234234660 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 234234660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376588800).

234234660 is an abundant number, since it is smaller than the sum of its proper divisors (518942940).

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

234234660 is a wasteful number, since it uses less digits than its factorization.

234234660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18721 (or 18719 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 234234660 is about 15304.7267208533. The cubic root of 234234660 is about 616.4299333180.

The spelling of 234234660 in words is "two hundred thirty-four million, two hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 18679 37358 56037 74716 93395 112074 186790 205469 224148 280185 354901 373580 410938 560370 616407 709802 821876 1027345 1064703 1120740 1232814 1419604 1774505 2054690 2129406 2465628 3082035 3549010 3903911 4109380 4258812 5323515 6164070 7098020 7807822 10647030 11711733 12328140 15615644 19519555 21294060 23423466 39039110 46846932 58558665 78078220 117117330 234234660