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241368900 = 223522334981
BaseRepresentation
bin11100110001011…
…11111101000100
3121211011210212220
432120233331010
5443242301100
635541212340
75660413263
oct1630577504
9554153786
10241368900
11114279033
1268a010b0
133b00cc46
14240b05da
15162cbaa0
hexe62ff44

241368900 has 72 divisors (see below), whose sum is σ = 728745024. Its totient is φ = 61564800.

The previous prime is 241368899. The next prime is 241368901. The reversal of 241368900 is 9863142.

It is an interprime number because it is at equal distance from previous prime (241368899) and next prime (241368901).

It is not an unprimeable number, because it can be changed into a prime (241368901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10591 + ... + 24390.

Almost surely, 2241368900 is an apocalyptic number.

241368900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241368900 is an abundant number, since it is smaller than the sum of its proper divisors (487376124).

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

241368900 is a wasteful number, since it uses less digits than its factorization.

241368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35021 (or 35014 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 241368900 is about 15536.0516219534. The cubic root of 241368900 is about 622.6257870677.

The spelling of 241368900 in words is "two hundred forty-one million, three hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 34981 69962 104943 139924 174905 209886 349810 419772 524715 699620 804563 874525 1049430 1609126 1749050 2098860 2413689 2623575 3218252 3498100 4022815 4827378 5247150 8045630 9654756 10494300 12068445 16091260 20114075 24136890 40228150 48273780 60342225 80456300 120684450 241368900