Search a number
-
+
34738264 = 23113747227
BaseRepresentation
bin1000010010000…
…1000001011000
32102100212221101
42010201001120
532343111024
63240321144
7601161511
oct204410130
972325841
1034738264
1118677410
12b7731b4
1372738b2
144883a08
1530b2c44
hex2121058

34738264 has 64 divisors (see below), whose sum is σ = 74856960. Its totient is φ = 14970240.

The previous prime is 34738261. The next prime is 34738283. The reversal of 34738264 is 46283743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34738261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152919 + ... + 153145.

It is an arithmetic number, because the mean of its divisors is an integer number (1169640).

Almost surely, 234738264 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 34738264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37428480).

34738264 is an abundant number, since it is smaller than the sum of its proper divisors (40118696).

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

34738264 is a wasteful number, since it uses less digits than its factorization.

34738264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 34738264 is about 5893.9175426875. The cubic root of 34738264 is about 326.2892035116.

The spelling of 34738264 in words is "thirty-four million, seven hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 37 44 47 74 88 94 148 188 227 296 376 407 454 517 814 908 1034 1628 1739 1816 2068 2497 3256 3478 4136 4994 6956 8399 9988 10669 13912 16798 19129 19976 21338 33596 38258 42676 67192 76516 85352 92389 117359 153032 184778 234718 369556 394753 469436 739112 789506 938872 1579012 3158024 4342283 8684566 17369132 34738264