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334225620 = 2232517310733
BaseRepresentation
bin10011111010111…
…110000011010100
3212021220102100200
4103322332003110
51141030204440
653055340500
711165604501
oct2372760324
9767812320
10334225620
11161730723
1293b21730
1354322251
14325624a8
151e51ec30
hex13ebe0d4

334225620 has 72 divisors (see below), whose sum is σ = 1019772936. Its totient is φ = 88603392.

The previous prime is 334225607. The next prime is 334225621. The reversal of 334225620 is 26522433.

334225620 is a `hidden beast` number, since 3 + 34 + 2 + 2 + 5 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31674384 + 302551236 = 5628^2 + 17394^2 .

It is a super-2 number, since 2×3342256202 = 223413530128768800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334225621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25774 + ... + 36506.

It is an arithmetic number, because the mean of its divisors is an integer number (14163513).

Almost surely, 2334225620 is an apocalyptic number.

334225620 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 334225620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509886468).

334225620 is an abundant number, since it is smaller than the sum of its proper divisors (685547316).

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

334225620 is a wasteful number, since it uses less digits than its factorization.

334225620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10921 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 334225620 is about 18281.8385289883. The cubic root of 334225620 is about 693.9794001532.

The spelling of 334225620 in words is "three hundred thirty-four million, two hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 10733 15570 21466 31140 32199 42932 53665 64398 96597 107330 128796 160995 193194 214660 321990 386388 482985 643980 965970 1856809 1931940 3713618 5570427 7427236 9284045 11140854 16711281 18568090 22281708 27852135 33422562 37136180 55704270 66845124 83556405 111408540 167112810 334225620