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380046528 = 2632719293
BaseRepresentation
bin10110101001110…
…000110011000000
3222111010100211100
4112221300303000
51234242442103
6101413414400
712263225241
oct2651606300
9874110740
10380046528
11185587644
12a733a400
1360976404
143868ccc8
15235715a3
hex16a70cc0

380046528 has 84 divisors (see below), whose sum is σ = 1104796368. Its totient is φ = 124884480.

The previous prime is 380046523. The next prime is 380046539. The reversal of 380046528 is 825640083.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 380046492 and 380046501.

It is not an unprimeable number, because it can be changed into a prime (380046523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36250 + ... + 45542.

Almost surely, 2380046528 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 380046528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552398184).

380046528 is an abundant number, since it is smaller than the sum of its proper divisors (724749840).

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

380046528 is a wasteful number, since it uses less digits than its factorization.

380046528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 380046528 is about 19494.7820711082. The cubic root of 380046528 is about 724.3452053818.

The spelling of 380046528 in words is "three hundred eighty million, forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 6816 9293 10224 13632 18586 20448 27879 37172 40896 55758 74344 83637 111516 148688 167274 223032 297376 334548 446064 594752 659803 669096 892128 1319606 1338192 1784256 1979409 2639212 2676384 3958818 5278424 5352768 5938227 7917636 10556848 11876454 15835272 21113696 23752908 31670544 42227392 47505816 63341088 95011632 126682176 190023264 380046528