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3013559640 = 233557133407
BaseRepresentation
bin1011001110011111…
…0100010101011000
321210000112200200000
42303213310111120
522132432402030
61215011013000
7134451556110
oct26347642530
97700480600
103013559640
111307091a63
1270129a160
133904513b0
14208336040
15129871860
hexb39f4558

3013559640 has 384 divisors, whose sum is σ = 12504360960. Its totient is φ = 635641344.

The previous prime is 3013559617. The next prime is 3013559671. The reversal of 3013559640 is 469553103.

3013559640 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 5 + 5 + 9 + 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 = 3013559595 and 3013559604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 882817 + ... + 886223.

It is an arithmetic number, because the mean of its divisors is an integer number (32563440).

Almost surely, 23013559640 is an apocalyptic number.

3013559640 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 3013559640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252180480).

3013559640 is an abundant number, since it is smaller than the sum of its proper divisors (9490801320).

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

3013559640 is a wasteful number, since it uses less digits than its factorization.

3013559640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3013559640 is about 54895.8982074253. The cubic root of 3013559640 is about 1444.4192363692.

The spelling of 3013559640 in words is "three billion, thirteen million, five hundred fifty-nine thousand, six hundred forty".