Search a number
-
+
234431440 = 2454171473
BaseRepresentation
bin11011111100100…
…10001111010000
3121100010100110221
431332102033100
5440003301230
635132402424
75544430405
oct1576221720
9540110427
10234431440
1111036a8a1
1266616414
1339751339
14231c62ac
15158ab27a
hexdf923d0

234431440 has 40 divisors (see below), whose sum is σ = 558354888. Its totient is φ = 91484160.

The previous prime is 234431437. The next prime is 234431497. The reversal of 234431440 is 44134432.

It can be written as a sum of positive squares in 4 ways, for example, as 14561856 + 219869584 = 3816^2 + 14828^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32457 + ... + 39016.

Almost surely, 2234431440 is an apocalyptic number.

234431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234431440 is an abundant number, since it is smaller than the sum of its proper divisors (323923448).

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

234431440 is a wasteful number, since it uses less digits than its factorization.

234431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71527 (or 71521 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 234431440 is about 15311.1541041164. The cubic root of 234431440 is about 616.6025054583.

Adding to 234431440 its reverse (44134432), we get a palindrome (278565872).

The spelling of 234431440 in words is "two hundred thirty-four million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 71473 142946 285892 357365 571784 714730 1143568 1429460 2858920 2930393 5717840 5860786 11721572 14651965 23443144 29303930 46886288 58607860 117215720 234431440