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334133430 = 23519631929
BaseRepresentation
bin10011111010100…
…111100010110110
3212021201201220020
4103322213202312
51141014232210
653053350010
711165041641
oct2372474266
9767651806
10334133430
11161678434
1293a98306
13542bc2b7
143253aa58
151e502770
hex13ea78b6

334133430 has 64 divisors (see below), whose sum is σ = 846374400. Its totient is φ = 84188160.

The previous prime is 334133383. The next prime is 334133431. The reversal of 334133430 is 34331433.

It is a super-2 number, since 2×3341334302 = 223290298087129800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334133430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334133431) 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, 359206 + ... + 360134.

It is an arithmetic number, because the mean of its divisors is an integer number (13224600).

Almost surely, 2334133430 is an apocalyptic number.

334133430 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 334133430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423187200).

334133430 is an abundant number, since it is smaller than the sum of its proper divisors (512240970).

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

334133430 is a wasteful number, since it uses less digits than its factorization.

334133430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 334133430 is about 18279.3170003696. The cubic root of 334133430 is about 693.9155871275.

Adding to 334133430 its reverse (34331433), we get a palindrome (368464863).

The spelling of 334133430 in words is "three hundred thirty-four million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 631 929 1262 1858 1893 2787 3155 3786 4645 5574 6310 9290 9465 11989 13935 17651 18930 23978 27870 35302 35967 52953 59945 71934 88255 105906 119890 176510 179835 264765 359670 529530 586199 1172398 1758597 2930995 3517194 5861990 8792985 11137781 17585970 22275562 33413343 55688905 66826686 111377810 167066715 334133430