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334068450 = 235219251467
BaseRepresentation
bin10011111010010…
…111101011100010
3212021121102202120
4103322113223202
51141010142300
653052125110
711164351332
oct2372275342
9767542676
10334068450
11161633631
1293a66796
1354298851
14325210c2
151e4dd3a0
hex13e97ae2

334068450 has 96 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 83880000.

The previous prime is 334068401. The next prime is 334068457. The reversal of 334068450 is 54860433.

It is a super-2 number, since 2×3340684502 = 223203458570805000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334068457) 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 47 ways as a sum of consecutive naturals, for example, 715117 + ... + 715583.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2334068450 is an apocalyptic number.

334068450 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 334068450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

334068450 is an abundant number, since it is smaller than the sum of its proper divisors (543375390).

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

334068450 is a wasteful number, since it uses less digits than its factorization.

334068450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 334068450 is about 18277.5394952384. The cubic root of 334068450 is about 693.8706015478.

The spelling of 334068450 in words is "three hundred thirty-four million, sixty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 251 285 467 475 502 570 753 934 950 1255 1401 1425 1506 2335 2510 2802 2850 3765 4670 4769 6275 7005 7530 8873 9538 11675 12550 14010 14307 17746 18825 23350 23845 26619 28614 35025 37650 44365 47690 53238 70050 71535 88730 117217 119225 133095 143070 221825 234434 238450 266190 351651 357675 443650 586085 665475 703302 715350 1172170 1330950 1758255 2227123 2930425 3516510 4454246 5860850 6681369 8791275 11135615 13362738 17582550 22271230 33406845 55678075 66813690 111356150 167034225 334068450