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2930245632 = 2193523
BaseRepresentation
bin1010111010101000…
…0000000000000000
321120012202220100000
42232222000000000
522000120330012
61202433200000
7132420451116
oct25652000000
97505686300
102930245632
111274057a06
12699400000
13379100772
141db249ab6
151223b5ddc
hexaea80000

2930245632 has 240 divisors, whose sum is σ = 9160351200. Its totient is φ = 934281216.

The previous prime is 2930245631. The next prime is 2930245639. The reversal of 2930245632 is 2365420392.

It is a happy number.

2930245632 is a `hidden beast` number, since 2 + 93 + 0 + 2 + 4 + 563 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930245631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127401973 + ... + 127401995.

It is an arithmetic number, because the mean of its divisors is an integer number (38168130).

Almost surely, 22930245632 is an apocalyptic number.

2930245632 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580175600).

2930245632 is an abundant number, since it is smaller than the sum of its proper divisors (6230105568).

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

2930245632 is an frugal number, since it uses more digits than its factorization.

2930245632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2930245632 is about 54131.7432935611. The cubic root of 2930245632 is about 1430.9836634344.

The spelling of 2930245632 in words is "two billion, nine hundred thirty million, two hundred forty-five thousand, six hundred thirty-two".