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380230128 = 243219314483
BaseRepresentation
bin10110101010011…
…101100111110000
3222111110200200100
4112222131213300
51234314331003
6101421352400
712264621435
oct2652354760
9874420610
10380230128
111856a2583
12a7408700
1360a0bb55
14386d9b8c
15235aaba3
hex16a9d9f0

380230128 has 120 divisors (see below), whose sum is σ = 1156513280. Its totient is φ = 116173440.

The previous prime is 380230121. The next prime is 380230129. The reversal of 380230128 is 821032083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380230121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82575 + ... + 87057.

Almost surely, 2380230128 is an apocalyptic number.

380230128 is a gapful number since it is divisible by the number (38) 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 380230128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578256640).

380230128 is an abundant number, since it is smaller than the sum of its proper divisors (776283152).

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

380230128 is a wasteful number, since it uses less digits than its factorization.

380230128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380230128 is about 19499.4904548811. The cubic root of 380230128 is about 724.4618300229.

It can be divided in two parts, 3802 and 30128, that added together give a triangular number (33930 = T260).

The spelling of 380230128 in words is "three hundred eighty million, two hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1767 2232 2356 2736 3534 4464 4483 4712 5301 7068 8966 9424 10602 13449 14136 17932 21204 26898 28272 35864 40347 42408 53796 71728 80694 84816 85177 107592 138973 161388 170354 215184 255531 277946 322776 340708 416919 511062 555892 645552 681416 766593 833838 1022124 1111784 1250757 1362832 1533186 1667676 2044248 2223568 2501514 2640487 3066372 3335352 4088496 5003028 5280974 6132744 6670704 7921461 10006056 10561948 12265488 15842922 20012112 21123896 23764383 31685844 42247792 47528766 63371688 95057532 126743376 190115064 380230128