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2334061920 = 253517319227
BaseRepresentation
bin1000101100011110…
…1111010101100000
320000122221122000210
42023013233111200
514240004440140
61023335014120
7111561125151
oct21307572540
96018848023
102334061920
11a985762a3
1255180a340
132b273cc38
14181db7928
15d9d9dd80
hex8b1ef560

2334061920 has 192 divisors, whose sum is σ = 8036775936. Its totient is φ = 566845440.

The previous prime is 2334061909. The next prime is 2334061949. The reversal of 2334061920 is 291604332.

2334061920 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248347 + ... + 257573.

It is an arithmetic number, because the mean of its divisors is an integer number (41858208).

Almost surely, 22334061920 is an apocalyptic number.

2334061920 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 2334061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018387968).

2334061920 is an abundant number, since it is smaller than the sum of its proper divisors (5702714016).

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

2334061920 is a wasteful number, since it uses less digits than its factorization.

2334061920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9293 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2334061920 is about 48312.1301538237. The cubic root of 2334061920 is about 1326.4904400765.

The spelling of 2334061920 in words is "two billion, three hundred thirty-four million, sixty-one thousand, nine hundred twenty".