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380315304 = 233323372069
BaseRepresentation
bin10110101010110…
…010011010101000
3222111122000112000
4112222302122220
51234330042204
6101423251000
712265424655
oct2652623250
9874560460
10380315304
11185750576
12a7449a60
1360a3b855
143871cc2c
15235c6039
hex16ab26a8

380315304 has 128 divisors (see below), whose sum is σ = 1132704000. Its totient is φ = 117925632.

The previous prime is 380315261. The next prime is 380315311. The reversal of 380315304 is 403513083.

It is a happy number.

380315304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3803153042 = 289279460913224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182782 + ... + 184850.

It is an arithmetic number, because the mean of its divisors is an integer number (8849250).

Almost surely, 2380315304 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 380315304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566352000).

380315304 is an abundant number, since it is smaller than the sum of its proper divisors (752388696).

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

380315304 is a wasteful number, since it uses less digits than its factorization.

380315304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 380315304 is about 19501.6743896518. The cubic root of 380315304 is about 724.5159219610.

Adding to 380315304 its reverse (403513083), we get a palindrome (783828387).

The spelling of 380315304 in words is "three hundred eighty million, three hundred fifteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 37 46 54 69 72 74 92 108 111 138 148 184 207 216 222 276 296 333 414 444 552 621 666 828 851 888 999 1242 1332 1656 1702 1998 2069 2484 2553 2664 3404 3996 4138 4968 5106 6207 6808 7659 7992 8276 10212 12414 15318 16552 18621 20424 22977 24828 30636 37242 45954 47587 49656 55863 61272 74484 76553 91908 95174 111726 142761 148968 153106 183816 190348 223452 229659 285522 306212 380696 428283 446904 459318 571044 612424 688977 856566 918636 1142088 1284849 1377954 1713132 1760719 1837272 2066931 2569698 2755908 3426264 3521438 4133862 5139396 5282157 5511816 7042876 8267724 10278792 10564314 14085752 15846471 16535448 21128628 31692942 42257256 47539413 63385884 95078826 126771768 190157652 380315304