Search a number
-
+
10834304 = 271317383
BaseRepresentation
bin101001010101…
…000110000000
3202101102212112
4221111012000
510233144204
61024114452
7161042615
oct51250600
922342775
1010834304
11612aa78
123765a28
132324540
14162050c
15e4026e
hexa55180

10834304 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 4694016.

The previous prime is 10834279. The next prime is 10834319. The reversal of 10834304 is 40343801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10834304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28097 + ... + 28479.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 210834304 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 10834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10834304 is an abundant number, since it is smaller than the sum of its proper divisors (13841536).

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

10834304 is a wasteful number, since it uses less digits than its factorization.

10834304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 10834304 is about 3291.5503945709. The cubic root of 10834304 is about 221.2756740824.

The spelling of 10834304 in words is "ten million, eight hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 383 416 442 544 766 832 884 1088 1532 1664 1768 2176 3064 3536 4979 6128 6511 7072 9958 12256 13022 14144 19916 24512 26044 28288 39832 49024 52088 79664 84643 104176 159328 169286 208352 318656 338572 416704 637312 677144 833408 1354288 2708576 5417152 10834304