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380542440 = 23353171187
BaseRepresentation
bin10110101011101…
…001110111101000
3222112001120002110
4112223221313220
51234404324230
6101432202320
712300362115
oct2653516750
9875046073
10380542440
11185896193
12a75393a0
1360abb055
143877b90c
152361d4b0
hex16ae9de8

380542440 has 32 divisors (see below), whose sum is σ = 1141627680. Its totient is φ = 101477952.

The previous prime is 380542423. The next prime is 380542441. The reversal of 380542440 is 44245083.

380542440 is digitally balanced in base 3, because in such base 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 junction number, because it is equal to n+sod(n) for n = 380542398 and 380542407.

It is not an unprimeable number, because it can be changed into a prime (380542441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1585474 + ... + 1585713.

It is an arithmetic number, because the mean of its divisors is an integer number (35675865).

Almost surely, 2380542440 is an apocalyptic number.

380542440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380542440 is an abundant number, since it is smaller than the sum of its proper divisors (761085240).

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

380542440 is a wasteful number, since it uses less digits than its factorization.

380542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171201 (or 3171197 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 380542440 is about 19507.4970203766. The cubic root of 380542440 is about 724.6601276563.

The spelling of 380542440 in words is "three hundred eighty million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3171187 6342374 9513561 12684748 15855935 19027122 25369496 31711870 38054244 47567805 63423740 76108488 95135610 126847480 190271220 380542440