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241390400 = 2652150869
BaseRepresentation
bin11100110001101…
…01001101000000
3121211012220101012
432120311031000
5443243443100
635541500052
75660533046
oct1630651500
9554186335
10241390400
111142931a9
1268a11628
133b019974
14240b8396
15162d3135
hexe635340

241390400 has 42 divisors (see below), whose sum is σ = 593975190. Its totient is φ = 96555520.

The previous prime is 241390399. The next prime is 241390423. The reversal of 241390400 is 4093142.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 241367296 = 152^2 + 15536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73835 + ... + 77034.

Almost surely, 2241390400 is an apocalyptic number.

241390400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241390400 is an abundant number, since it is smaller than the sum of its proper divisors (352584790).

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

241390400 is a wasteful number, since it uses less digits than its factorization.

241390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150891 (or 150876 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 241390400 is about 15536.7435455439. The cubic root of 241390400 is about 622.6442733722.

The spelling of 241390400 in words is "two hundred forty-one million, three hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 150869 301738 603476 754345 1206952 1508690 2413904 3017380 3771725 4827808 6034760 7543450 9655616 12069520 15086900 24139040 30173800 48278080 60347600 120695200 241390400