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380388736 = 27713172113
BaseRepresentation
bin10110101011000…
…100010110000000
3222111202202020201
4112223010112000
51234334414421
6101425014544
712266152030
oct2653042600
9874682221
10380388736
111857a0762
12a7484454
1360a660c0
143873b8c0
15235dcb91
hex16ac4580

380388736 has 192 divisors, whose sum is σ = 999542880. Its totient is φ = 140378112.

The previous prime is 380388733. The next prime is 380388739. The reversal of 380388736 is 637883083.

It is an interprime number because it is at equal distance from previous prime (380388733) and next prime (380388739).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380388733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3366216 + ... + 3366328.

Almost surely, 2380388736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380388736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499771440).

380388736 is an abundant number, since it is smaller than the sum of its proper divisors (619154144).

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

380388736 is a wasteful number, since it uses less digits than its factorization.

380388736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 380388736 is about 19503.5570089151. The cubic root of 380388736 is about 724.5625492629.

The spelling of 380388736 in words is "three hundred eighty million, three hundred eighty-eight thousand, seven hundred thirty-six".