Search a number
-
+
621290304 = 26332571399
BaseRepresentation
bin100101000010000…
…010001101000000
31121022001211002000
4211002002031000
52233022242204
6141352224000
721252610665
oct4502021500
91538054060
10621290304
1129977a668
1215409b000
139b9413cb
145c729a6c
1539826039
hex25082340

621290304 has 112 divisors (see below), whose sum is σ = 1834896000. Its totient is φ = 206143488.

The previous prime is 621290297. The next prime is 621290309. The reversal of 621290304 is 403092126.

621290304 is a `hidden beast` number, since 621 + 2 + 9 + 0 + 30 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621290309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443397 + ... + 444795.

It is an arithmetic number, because the mean of its divisors is an integer number (16383000).

Almost surely, 2621290304 is an apocalyptic number.

621290304 is a gapful number since it is divisible by the number (64) 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 621290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917448000).

621290304 is an abundant number, since it is smaller than the sum of its proper divisors (1213605696).

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

621290304 is a wasteful number, since it uses less digits than its factorization.

621290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 621290304 is about 24925.6956572931. The cubic root of 621290304 is about 853.2930178436.

The spelling of 621290304 in words is "six hundred twenty-one million, two hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 257 288 432 514 576 771 864 1028 1399 1542 1728 2056 2313 2798 3084 4112 4197 4626 5596 6168 6939 8224 8394 9252 11192 12336 12591 13878 16448 16788 18504 22384 24672 25182 27756 33576 37008 37773 44768 49344 50364 55512 67152 74016 75546 89536 100728 111024 134304 148032 151092 201456 222048 268608 302184 359543 402912 444096 604368 719086 805824 1078629 1208736 1438172 2157258 2417472 2876344 3235887 4314516 5752688 6471774 8629032 9707661 11505376 12943548 17258064 19415322 23010752 25887096 34516128 38830644 51774192 69032256 77661288 103548384 155322576 207096768 310645152 621290304