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383423040 = 2632572111319
BaseRepresentation
bin10110110110101…
…001001001000000
3222201110220112100
4112312221021000
51241124014130
6102014030400
712334020300
oct2666511100
9881426470
10383423040
11187483450
12a84a8400
1361589250
1438ccb600
15239dbc60
hex16da9240

383423040 has 1008 divisors, whose sum is σ = 1897197120. Its totient is φ = 69672960.

The previous prime is 383423017. The next prime is 383423063. The reversal of 383423040 is 40324383.

It is an interprime number because it is at equal distance from previous prime (383423017) and next prime (383423063).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 383422995 and 383423013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20180151 + ... + 20180169.

It is an arithmetic number, because the mean of its divisors is an integer number (1882140).

Almost surely, 2383423040 is an apocalyptic number.

383423040 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 383423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948598560).

383423040 is an abundant number, since it is smaller than the sum of its proper divisors (1513774080).

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

383423040 is a wasteful number, since it uses less digits than its factorization.

383423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 383423040 is about 19581.1909750148. The cubic root of 383423040 is about 726.4840248368.

The spelling of 383423040 in words is "three hundred eighty-three million, four hundred twenty-three thousand, forty".