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380630128 = 24236011721
BaseRepresentation
bin10110101011111…
…111010001110000
3222112020000101011
4112223333101300
51234420131003
6101434120304
712301205554
oct2653772160
9875200334
10380630128
1118594605a
12a7580094
1360b1bc38
14387a1864
152363946d
hex16aff470

380630128 has 40 divisors (see below), whose sum is σ = 771263136. Its totient is φ = 181632000.

The previous prime is 380630123. The next prime is 380630141. The reversal of 380630128 is 821036083.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 380630128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380630123) 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, 220308 + ... + 222028.

Almost surely, 2380630128 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 380630128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385631568).

380630128 is an abundant number, since it is smaller than the sum of its proper divisors (390633008).

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

380630128 is a wasteful number, since it uses less digits than its factorization.

380630128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 380630128 is about 19509.7444370755. The cubic root of 380630128 is about 724.7157842756.

The spelling of 380630128 in words is "three hundred eighty million, six hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 601 1202 1721 2404 3442 4808 6884 9616 13768 13823 27536 27646 39583 55292 79166 110584 158332 221168 316664 633328 1034321 2068642 4137284 8274568 16549136 23789383 47578766 95157532 190315064 380630128