Search a number
-
+
326556990 = 2325193232
BaseRepresentation
bin10011011101101…
…101110100111110
3211202110210222100
4103131231310332
51132044310430
652223125530
711043455124
oct2335556476
9752423870
10326556990
11158373111
12914438a6
13528688b6
1431527914
151da07960
hex1376dd3e

326556990 has 144 divisors (see below), whose sum is σ = 936870480. Its totient is φ = 78911712.

The previous prime is 326556983. The next prime is 326557001. The reversal of 326556990 is 99655623.

326556990 is a `hidden beast` number, since 3 + 2 + 6 + 556 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14198119 + ... + 14198141.

It is an arithmetic number, because the mean of its divisors is an integer number (6506045).

Almost surely, 2326556990 is an apocalyptic number.

326556990 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 326556990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468435240).

326556990 is an abundant number, since it is smaller than the sum of its proper divisors (610313490).

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

326556990 is a wasteful number, since it uses less digits than its factorization.

326556990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 326556990 is about 18070.8879139903. The cubic root of 326556990 is about 688.6306174376.

The spelling of 326556990 in words is "three hundred twenty-six million, five hundred fifty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 30 38 45 46 57 69 90 95 114 115 138 171 190 207 230 285 342 345 361 414 437 529 570 690 722 855 874 1035 1058 1083 1311 1587 1710 1805 2070 2166 2185 2622 2645 3174 3249 3610 3933 4370 4761 5290 5415 6498 6555 6859 7866 7935 8303 9522 10051 10830 13110 13718 15870 16245 16606 19665 20102 20577 23805 24909 30153 32490 34295 39330 41154 41515 47610 49818 50255 60306 61731 68590 74727 83030 90459 100510 102885 123462 124545 149454 150765 157757 180918 190969 205770 249090 301530 308655 315514 373635 381938 452295 473271 572907 617310 747270 788785 904590 946542 954845 1145814 1419813 1577570 1718721 1909690 2366355 2839626 2864535 3437442 3628411 4732710 5729070 7099065 7256822 8593605 10885233 14198130 17187210 18142055 21770466 32655699 36284110 54426165 65311398 108852330 163278495 326556990