Search a number
-
+
380464290 = 23452411949
BaseRepresentation
bin10110101011010…
…110110010100010
3222111220120220000
4112223112302202
51234344324130
6101430400430
712266615223
oct2653266242
9874816800
10380464290
111858424a8
12a7500116
1360a915cb
143875b24a
1523605260
hex16ad6ca2

380464290 has 80 divisors (see below), whose sum is σ = 1027798200. Its totient is φ = 100984320.

The previous prime is 380464283. The next prime is 380464307. The reversal of 380464290 is 92464083.

It is a happy number.

380464290 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 642 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 369908289 + 10556001 = 19233^2 + 3249^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194236 + ... + 196184.

Almost surely, 2380464290 is an apocalyptic number.

380464290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380464290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513899100).

380464290 is an abundant number, since it is smaller than the sum of its proper divisors (647333910).

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

380464290 is a wasteful number, since it uses less digits than its factorization.

380464290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 380464290 is about 19505.4938414796. The cubic root of 380464290 is about 724.6105177134.

The spelling of 380464290 in words is "three hundred eighty million, four hundred sixty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 241 270 405 482 723 810 1205 1446 1949 2169 2410 3615 3898 4338 5847 6507 7230 9745 10845 11694 13014 17541 19490 19521 21690 29235 32535 35082 39042 52623 58470 65070 87705 97605 105246 157869 175410 195210 263115 315738 469709 526230 789345 939418 1409127 1578690 2348545 2818254 4227381 4697090 7045635 8454762 12682143 14091270 21136905 25364286 38046429 42273810 63410715 76092858 126821430 190232145 380464290