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234430240 = 25511212109
BaseRepresentation
bin11011111100100…
…01111100100000
3121100010021211111
431332101330200
5440003231430
635132353104
75544424042
oct1576217440
9540107744
10234430240
11110369a00
1266615794
1339750925
14231c5a92
15158aac2a
hexdf91f20

234430240 has 72 divisors (see below), whose sum is σ = 608818140. Its totient is φ = 85240320.

The previous prime is 234430213. The next prime is 234430247. The reversal of 234430240 is 42034432.

It can be written as a sum of positive squares in 2 ways, for example, as 214681104 + 19749136 = 14652^2 + 4444^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (234430247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13306 + ... + 25414.

Almost surely, 2234430240 is an apocalyptic number.

234430240 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 234430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304409070).

234430240 is an abundant number, since it is smaller than the sum of its proper divisors (374387900).

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

234430240 is a wasteful number, since it uses less digits than its factorization.

234430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 234430240 is about 15311.1149169484. The cubic root of 234430240 is about 616.6014533749.

Adding to 234430240 its reverse (42034432), we get a palindrome (276464672).

The spelling of 234430240 in words is "two hundred thirty-four million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 12109 19360 24218 48436 60545 96872 121090 133199 193744 242180 266398 387488 484360 532796 665995 968720 1065592 1331990 1465189 1937440 2131184 2663980 2930378 4262368 5327960 5860756 7325945 10655920 11721512 14651890 21311840 23443024 29303780 46886048 58607560 117215120 234430240