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30526913340 = 223357112312153
BaseRepresentation
bin11100011011100010…
…111011101100111100
32220210110202212121000
4130123202323230330
51000004342211330
622005053410300
72130325324230
oct343342735474
986713685530
1030526913340
1111a45712900
125abb499990
132b565b1241
1416984085c0
15bda00b560
hex71b8bbb3c

30526913340 has 576 divisors, whose sum is σ = 123210178560. Its totient is φ = 6135782400.

The previous prime is 30526913299. The next prime is 30526913377. The reversal of 30526913340 is 4331962503.

It is a happy number.

30526913340 is a `hidden beast` number, since 3 + 0 + 526 + 91 + 3 + 3 + 40 = 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 = 30526913295 and 30526913304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14177704 + ... + 14179856.

It is an arithmetic number, because the mean of its divisors is an integer number (213906560).

Almost surely, 230526913340 is an apocalyptic number.

30526913340 is a gapful number since it is divisible by the number (30) 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 30526913340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61605089280).

30526913340 is an abundant number, since it is smaller than the sum of its proper divisors (92683265220).

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

30526913340 is a wasteful number, since it uses less digits than its factorization.

30526913340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 30526913340 in words is "thirty billion, five hundred twenty-six million, nine hundred thirteen thousand, three hundred forty".