Search a number
-
+
34363472 = 24111323653
BaseRepresentation
bin1000001100010…
…1100001010000
32101122211211012
42003011201100
532244112342
63224310052
7565041023
oct203054120
971584735
1034363472
1118440870
12b612328
137172120
1447c71ba
15303bb82
hex20c5850

34363472 has 80 divisors (see below), whose sum is σ = 81744768. Its totient is φ = 13770240.

The previous prime is 34363379. The next prime is 34363481. The reversal of 34363472 is 27436343.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52298 + ... + 52950.

Almost surely, 234363472 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 34363472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40872384).

34363472 is an abundant number, since it is smaller than the sum of its proper divisors (47381296).

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

34363472 is a wasteful number, since it uses less digits than its factorization.

34363472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its digits is 36288, while the sum is 32.

The square root of 34363472 is about 5862.0365061982. The cubic root of 34363472 is about 325.1115104533. Note that the first 3 decimals are identical.

The spelling of 34363472 in words is "thirty-four million, three hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 143 176 184 208 253 286 299 368 506 572 598 653 1012 1144 1196 1306 2024 2288 2392 2612 3289 4048 4784 5224 6578 7183 8489 10448 13156 14366 15019 16978 26312 28732 30038 33956 52624 57464 60076 67912 93379 114928 120152 135824 165209 186758 195247 240304 330418 373516 390494 660836 747032 780988 1321672 1494064 1561976 2147717 2643344 3123952 4295434 8590868 17181736 34363472