Search a number
-
+
34963434 = 2331125351
BaseRepresentation
bin1000010101011…
…1111111101010
32102210022211000
42011113333222
532422312214
63245215430
7603120132
oct205277752
972708730
1034963434
1118810600
12b861576
13732222c
144901ac2
153109809
hex2157fea

34963434 has 48 divisors (see below), whose sum is σ = 85417920. Its totient is φ = 10593000.

The previous prime is 34963421. The next prime is 34963493. The reversal of 34963434 is 43436943.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

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, 3859 + ... + 9209.

It is an arithmetic number, because the mean of its divisors is an integer number (1779540).

Almost surely, 234963434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34963434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42708960).

34963434 is an abundant number, since it is smaller than the sum of its proper divisors (50454486).

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

34963434 is a wasteful number, since it uses less digits than its factorization.

34963434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5367 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 34963434 is about 5912.9885844639. The cubic root of 34963434 is about 326.9926772201.

The spelling of 34963434 in words is "thirty-four million, nine hundred sixty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 5351 6534 10702 16053 32106 48159 58861 96318 117722 144477 176583 288954 353166 529749 647471 1059498 1294942 1589247 1942413 3178494 3884826 5827239 11654478 17481717 34963434