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3070345824 = 25357134339
BaseRepresentation
bin1011011100000001…
…1100001001100000
321220222101201200000
42313000130021200
522242002031244
61224400100000
7136041336360
oct26700341140
97828351600
103070345824
111336148297
12718304600
1339c1445a0
14211ab89a0
1512e83c169
hexb701c260

3070345824 has 288 divisors, whose sum is σ = 11146786560. Its totient is φ = 809574912.

The previous prime is 3070345801. The next prime is 3070345871. The reversal of 3070345824 is 4285430703.

It is a happy number.

3070345824 is a `hidden beast` number, since 3 + 0 + 70 + 3 + 4 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705447 + ... + 709785.

It is an arithmetic number, because the mean of its divisors is an integer number (38704120).

Almost surely, 23070345824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3070345824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573393280).

3070345824 is an abundant number, since it is smaller than the sum of its proper divisors (8076440736).

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

3070345824 is a wasteful number, since it uses less digits than its factorization.

3070345824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3070345824 is about 55410.7013491076. The cubic root of 3070345824 is about 1453.4355040442.

The spelling of 3070345824 in words is "three billion, seventy million, three hundred forty-five thousand, eight hundred twenty-four".