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3413592 = 2332713521
BaseRepresentation
bin1101000001011001011000
320102102120100
431001121120
51333213332
6201055400
741005110
oct15013130
96372510
103413592
111a21756
121187560
139269a0
1464c040
1547667c
hex341658

3413592 has 96 divisors (see below), whose sum is σ = 11400480. Its totient is φ = 898560.

The previous prime is 3413587. The next prime is 3413611. The reversal of 3413592 is 2953143.

It is a super-2 number, since 2×34135922 = 23305220684928, which contains 22 as substring.

It is a congruent number.

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, 6292 + ... + 6812.

It is an arithmetic number, because the mean of its divisors is an integer number (118755).

Almost surely, 23413592 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 3413592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700240).

3413592 is an abundant number, since it is smaller than the sum of its proper divisors (7986888).

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

3413592 is a wasteful number, since it uses less digits than its factorization.

3413592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 3413592 is about 1847.5908638007. The cubic root of 3413592 is about 150.5695678788.

It can be divided in two parts, 3413 and 592, that added together give a triangular number (4005 = T89).

The spelling of 3413592 in words is "three million, four hundred thirteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 521 546 728 819 936 1042 1092 1563 1638 2084 2184 3126 3276 3647 4168 4689 6252 6552 6773 7294 9378 10941 12504 13546 14588 18756 20319 21882 27092 29176 32823 37512 40638 43764 47411 54184 60957 65646 81276 87528 94822 121914 131292 142233 162552 189644 243828 262584 284466 379288 426699 487656 568932 853398 1137864 1706796 3413592