Search a number
-
+
334513100 = 225247103691
BaseRepresentation
bin10011111100000…
…100001111001100
3212022110000201002
4103330010033030
51141113404400
653105435432
711201212565
oct2374041714
9768400632
10334513100
11161907709
129403bb78
13543c305c
14325d916c
151e579ed5
hex13f043cc

334513100 has 72 divisors (see below), whose sum is σ = 749618688. Its totient is φ = 129499200.

The previous prime is 334513099. The next prime is 334513117. The reversal of 334513100 is 1315433.

It is a happy number.

It is a super-2 number, since 2×3345131002 = 223798028143220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483755 + ... + 484445.

Almost surely, 2334513100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374809344).

334513100 is an abundant number, since it is smaller than the sum of its proper divisors (415105588).

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

334513100 is a wasteful number, since it uses less digits than its factorization.

334513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 334513100 is about 18289.6992867570. The cubic root of 334513100 is about 694.1783157087.

Adding to 334513100 its reverse (1315433), we get a palindrome (335828533).

The spelling of 334513100 in words is "three hundred thirty-four million, five hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 103 188 206 235 412 470 515 691 940 1030 1175 1382 2060 2350 2575 2764 3455 4700 4841 5150 6910 9682 10300 13820 17275 19364 24205 32477 34550 48410 64954 69100 71173 96820 121025 129908 142346 162385 242050 284692 324770 355865 484100 649540 711730 811925 1423460 1623850 1779325 3247700 3345131 3558650 6690262 7117300 13380524 16725655 33451310 66902620 83628275 167256550 334513100