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5374334406 = 2372173134687
BaseRepresentation
bin1010000000101010…
…11101010111000110
3111212112202110211110
411000111131113012
542001312200111
62245142345450
7250116042300
oct50025352706
914775673743
105374334406
112308742a91
12105ba2b286
1367858503c
1438daa4970
15216c4a5a6
hex14055d5c6

5374334406 has 96 divisors (see below), whose sum is σ = 13666516992. Its totient is φ = 1398539520.

The previous prime is 5374334401. The next prime is 5374334417. The reversal of 5374334406 is 6044334735.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5374334401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137595 + ... + 172281.

It is an arithmetic number, because the mean of its divisors is an integer number (142359552).

Almost surely, 25374334406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5374334406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833258496).

5374334406 is an abundant number, since it is smaller than the sum of its proper divisors (8292182586).

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

5374334406 is a wasteful number, since it uses less digits than its factorization.

5374334406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34754 (or 34747 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The square root of 5374334406 is about 73309.8520391359. The cubic root of 5374334406 is about 1751.6267220697.

The spelling of 5374334406 in words is "five billion, three hundred seventy-four million, three hundred thirty-four thousand, four hundred six".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 49 51 62 93 98 102 119 147 186 217 238 294 357 434 527 651 714 833 1054 1302 1519 1581 1666 2499 3038 3162 3689 4557 4998 7378 9114 11067 22134 25823 34687 51646 69374 77469 104061 154938 208122 242809 485618 589679 728427 1075297 1179358 1456854 1699663 1769037 2150594 3225891 3399326 3538074 4127753 5098989 6451782 7527079 8255506 10197978 12383259 15054158 18280049 22581237 24766518 28894271 36560098 45162474 52689553 54840147 57788542 86682813 105379106 109680294 127960343 158068659 173365626 255920686 316137318 383881029 767762058 895722401 1791444802 2687167203 5374334406