Search a number
-
+
396318060 = 2232523293301
BaseRepresentation
bin10111100111110…
…101010101101100
31000121202001011200
4113213311111230
51302424134220
6103154245500
712551435145
oct2747652554
91017661150
10396318060
11193790696
12b0886890
1364152738
143a8c6acc
1524bd7890
hex179f556c

396318060 has 144 divisors (see below), whose sum is σ = 1298082240. Its totient is φ = 97574400.

The previous prime is 396318029. The next prime is 396318077. The reversal of 396318060 is 60813693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118410 + ... + 121710.

It is an arithmetic number, because the mean of its divisors is an integer number (9014460).

Almost surely, 2396318060 is an apocalyptic number.

396318060 is a gapful number since it is divisible by the number (30) 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 396318060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649041120).

396318060 is an abundant number, since it is smaller than the sum of its proper divisors (901764180).

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

396318060 is a wasteful number, since it uses less digits than its factorization.

396318060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 396318060 is about 19907.7386962960. The cubic root of 396318060 is about 734.5385969857.

The spelling of 396318060 in words is "three hundred ninety-six million, three hundred eighteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 29 30 36 45 46 58 60 69 87 90 92 115 116 138 145 174 180 207 230 261 276 290 345 348 414 435 460 522 580 667 690 828 870 1035 1044 1305 1334 1380 1740 2001 2070 2610 2668 3301 3335 4002 4140 5220 6003 6602 6670 8004 9903 10005 12006 13204 13340 16505 19806 20010 24012 29709 30015 33010 39612 40020 49515 59418 60030 66020 75923 95729 99030 118836 120060 148545 151846 191458 198060 227769 287187 297090 303692 379615 382916 455538 478645 574374 594180 683307 759230 861561 911076 957290 1138845 1148748 1366614 1435935 1518460 1723122 1914580 2201767 2277690 2733228 2871870 3416535 3446244 4307805 4403534 4555380 5743740 6605301 6833070 8615610 8807068 11008835 13210602 13666140 17231220 19815903 22017670 26421204 33026505 39631806 44035340 66053010 79263612 99079515 132106020 198159030 396318060