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2339065680 = 2435719127577
BaseRepresentation
bin1000101101101011…
…0100111101010000
320001000100211220020
42023122310331100
514242300100210
61024034143440
7111651505320
oct21332647520
96030324806
102339065680
11aa0383736
12553421b80
132b37a2643
1418291b280
15da53b770
hex8b6b4f50

2339065680 has 320 divisors, whose sum is σ = 8807055360. Its totient is φ = 501645312.

The previous prime is 2339065639. The next prime is 2339065681. The reversal of 2339065680 is 865609332.

2339065680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2339065681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4053552 + ... + 4054128.

It is an arithmetic number, because the mean of its divisors is an integer number (27522048).

Almost surely, 22339065680 is an apocalyptic number.

2339065680 is a gapful number since it is divisible by the number (20) 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 2339065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403527680).

2339065680 is an abundant number, since it is smaller than the sum of its proper divisors (6467989680).

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

2339065680 is a wasteful number, since it uses less digits than its factorization.

2339065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2339065680 is about 48363.8881811626. Note that the first 3 decimals coincide. The cubic root of 2339065680 is about 1327.4376732063.

The spelling of 2339065680 in words is "two billion, three hundred thirty-nine million, sixty-five thousand, six hundred eighty".