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368006490 = 23857179
BaseRepresentation
bin10101111011110…
…101010101011010
3221122110200000000
4111323311111122
51223202201430
6100303353430
712056001135
oct2573652532
9848420000
10368006490
111798037a5
12a32b2876
135b31c127
1436c3721c
1522493e60
hex15ef555a

368006490 has 144 divisors (see below), whose sum is σ = 1020314880. Its totient is φ = 95528160.

The previous prime is 368006467. The next prime is 368006519. The reversal of 368006490 is 94600863.

368006490 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 0 + 649 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4658271 + ... + 4658349.

It is an arithmetic number, because the mean of its divisors is an integer number (7085520).

Almost surely, 2368006490 is an apocalyptic number.

368006490 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 368006490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510157440).

368006490 is an abundant number, since it is smaller than the sum of its proper divisors (652308390).

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

368006490 is an frugal number, since it uses more digits than its factorization.

368006490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 368006490 is about 19183.4952498235. The cubic root of 368006490 is about 716.6137868561.

The spelling of 368006490 in words is "three hundred sixty-eight million, six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 79 81 90 135 142 158 162 213 237 243 270 355 395 405 426 474 486 639 710 711 729 790 810 1065 1185 1215 1278 1422 1458 1917 2130 2133 2187 2370 2430 3195 3555 3645 3834 4266 4374 5609 5751 6390 6399 6561 7110 7290 9585 10665 10935 11218 11502 12798 13122 16827 17253 19170 19197 21330 21870 28045 28755 31995 32805 33654 34506 38394 50481 51759 56090 57510 57591 63990 65610 84135 86265 95985 100962 103518 115182 151443 155277 168270 172530 172773 191970 252405 258795 287955 302886 310554 345546 454329 465831 504810 517590 518319 575910 757215 776385 863865 908658 931662 1036638 1362987 1514430 1552770 1727730 2271645 2329155 2591595 2725974 4088961 4543290 4658310 5183190 6814935 8177922 12266883 13629870 20444805 24533766 36800649 40889610 61334415 73601298 122668830 184003245 368006490