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3053690640 = 243257111319223
BaseRepresentation
bin1011011000000011…
…1001111100010000
321212211001120001100
42312000321330100
522223221100030
61223003104400
7135446641110
oct26600717420
97784046040
103053690640
111327801a80
12712812100
13398862750
1420d7c1040
1512d14c360
hexb6039f10

3053690640 has 960 divisors, whose sum is σ = 14559068160. Its totient is φ = 552407040.

The previous prime is 3053690593. The next prime is 3053690641. The reversal of 3053690640 is 460963503.

3053690640 is a `hidden beast` number, since 3 + 0 + 5 + 3 + 6 + 9 + 0 + 640 = 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 = 3053690595 and 3053690604.

It is not an unprimeable number, because it can be changed into a prime (3053690641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13693569 + ... + 13693791.

It is an arithmetic number, because the mean of its divisors is an integer number (15165696).

Almost surely, 23053690640 is an apocalyptic number.

3053690640 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 3053690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279534080).

3053690640 is an abundant number, since it is smaller than the sum of its proper divisors (11505377520).

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

3053690640 is a wasteful number, since it uses less digits than its factorization.

3053690640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

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

The square root of 3053690640 is about 55260.2084686621. The cubic root of 3053690640 is about 1450.8026693418.

The spelling of 3053690640 in words is "three billion, fifty-three million, six hundred ninety thousand, six hundred forty".