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380176823040 = 2835741344963
BaseRepresentation
bin1011000100001000100…
…11011111001100000000
31100100022011202122100120
411202010103133030000
522212100231314130
6450352324420240
736316064451120
oct5420423371400
91310264678316
10380176823040
111372609a6123
1261820547680
1329b09794531
1414587588c80
159d51459910
hex58844df300

380176823040 has 288 divisors, whose sum is σ = 1421494534656. Its totient is φ = 84777861120.

The previous prime is 380176823029. The next prime is 380176823041. The reversal of 380176823040 is 40328671083.

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

It is a junction number, because it is equal to n+sod(n) for n = 380176822983 and 380176823001.

It is not an unprimeable number, because it can be changed into a prime (380176823041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929599 + ... + 1274561.

It is an arithmetic number, because the mean of its divisors is an integer number (4935744912).

Almost surely, 2380176823040 is an apocalyptic number.

380176823040 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 380176823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710747267328).

380176823040 is an abundant number, since it is smaller than the sum of its proper divisors (1041317711616).

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

380176823040 is a wasteful number, since it uses less digits than its factorization.

380176823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345035 (or 345021 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 380176823040 in words is "three hundred eighty billion, one hundred seventy-six million, eight hundred twenty-three thousand, forty".