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234027520 = 295113809
BaseRepresentation
bin11011111001011…
…11101000000000
3121022100211101221
431330233220000
5434402340040
635120004424
75541125656
oct1574575000
9538324357
10234027520
11110114381
1266460714
133963c52c
142311cdd6
151582b74a
hexdf2fa00

234027520 has 80 divisors (see below), whose sum is σ = 566782920. Its totient is φ = 92667904.

The previous prime is 234027509. The next prime is 234027533. The reversal of 234027520 is 25720432.

234027520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165071104 + 68956416 = 12848^2 + 8304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 288876 + ... + 289684.

Almost surely, 2234027520 is an apocalyptic number.

234027520 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 234027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283391460).

234027520 is an abundant number, since it is smaller than the sum of its proper divisors (332755400).

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

234027520 is an equidigital number, since it uses as much as digits as its factorization.

234027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 234027520 is about 15297.9580336723. The cubic root of 234027520 is about 616.2481712138.

Adding to 234027520 its reverse (25720432), we get a palindrome (259747952).

The spelling of 234027520 in words is "two hundred thirty-four million, twenty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 512 565 640 809 904 1130 1280 1618 1808 2260 2560 3236 3616 4045 4520 6472 7232 8090 9040 12944 14464 16180 18080 25888 28928 32360 36160 51776 57856 64720 72320 91417 103552 129440 144640 182834 207104 258880 289280 365668 414208 457085 517760 731336 914170 1035520 1462672 1828340 2071040 2925344 3656680 5850688 7313360 11701376 14626720 23402752 29253440 46805504 58506880 117013760 234027520