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241530626340 = 22325231013591609
BaseRepresentation
bin1110000011110001011…
…0001110000100100100
3212002102200111002121100
43200330112032010210
512424123320020330
6302542503320100
723310232310163
oct3407426160444
9762380432540
10241530626340
1193483818493
123a988150030
1319a12527aa3
14b993a853da
156439505060
hex383c58e124

241530626340 has 288 divisors, whose sum is σ = 774697996800. Its totient is φ = 60790118400.

The previous prime is 241530626333. The next prime is 241530626369. The reversal of 241530626340 is 43626035142.

241530626340 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 306 + 2 + 6 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241530626295 and 241530626304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150111456 + ... + 150113064.

It is an arithmetic number, because the mean of its divisors is an integer number (2689923600).

Almost surely, 2241530626340 is an apocalyptic number.

241530626340 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 241530626340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387348998400).

241530626340 is an abundant number, since it is smaller than the sum of its proper divisors (533167370460).

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

241530626340 is a wasteful number, since it uses less digits than its factorization.

241530626340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 241530626340 in words is "two hundred forty-one billion, five hundred thirty million, six hundred twenty-six thousand, three hundred forty".