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334337340 = 223561167547
BaseRepresentation
bin10011111011011…
…001010100111100
3212022010002121110
4103323121110330
51141042243330
653102002020
711166551301
oct2373312474
9768102543
10334337340
111617a7657
1293b76310
135436105c
14325910a8
151e542db0
hex13ed953c

334337340 has 96 divisors (see below), whose sum is σ = 958938624. Its totient is φ = 87010560.

The previous prime is 334337321. The next prime is 334337347. The reversal of 334337340 is 43733433.

334337340 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3343373402 = 223562913836551200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

334337340 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 334337298 and 334337307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334337347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610947 + ... + 611493.

It is an arithmetic number, because the mean of its divisors is an integer number (9988944).

Almost surely, 2334337340 is an apocalyptic number.

334337340 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 334337340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479469312).

334337340 is an abundant number, since it is smaller than the sum of its proper divisors (624601284).

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

334337340 is a wasteful number, since it uses less digits than its factorization.

334337340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 30.

The square root of 334337340 is about 18284.8937650729. The cubic root of 334337340 is about 694.0567159312.

The spelling of 334337340 in words is "three hundred thirty-four million, three hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 167 183 244 305 334 366 501 547 610 668 732 835 915 1002 1094 1220 1641 1670 1830 2004 2188 2505 2735 3282 3340 3660 5010 5470 6564 8205 10020 10187 10940 16410 20374 30561 32820 33367 40748 50935 61122 66734 91349 100101 101870 122244 133468 152805 166835 182698 200202 203740 274047 305610 333670 365396 400404 456745 500505 548094 611220 667340 913490 1001010 1096188 1370235 1826980 2002020 2740470 5480940 5572289 11144578 16716867 22289156 27861445 33433734 55722890 66867468 83584335 111445780 167168670 334337340