Search a number
-
+
69413344 = 25711213197
BaseRepresentation
bin1000010001100…
…10100111100000
311211121120012121
410020302213200
5120232211334
610515434024
71502001160
oct410624740
9154546177
1069413344
1136200300
121b2b5914
13114c47b0
14930c5a0
156161db4
hex42329e0

69413344 has 144 divisors (see below), whose sum is σ = 185812704. Its totient is φ = 24837120.

The previous prime is 69413339. The next prime is 69413347. The reversal of 69413344 is 44331496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69413347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352254 + ... + 352450.

It is an arithmetic number, because the mean of its divisors is an integer number (1290366).

Almost surely, 269413344 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 69413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92906352).

69413344 is an abundant number, since it is smaller than the sum of its proper divisors (116399360).

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

69413344 is a wasteful number, since it uses less digits than its factorization.

69413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 69413344 is about 8331.4670976965. The cubic root of 69413344 is about 410.9739763262.

The spelling of 69413344 in words is "sixty-nine million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 197 208 224 242 286 308 352 364 394 416 484 572 616 728 788 847 968 1001 1144 1232 1379 1456 1573 1576 1694 1936 2002 2167 2288 2464 2561 2758 2912 3146 3152 3388 3872 4004 4334 4576 5122 5516 6292 6304 6776 8008 8668 10244 11011 11032 12584 13552 15169 16016 17336 17927 20488 22022 22064 23837 25168 27104 28171 30338 32032 34672 35854 40976 44044 44128 47674 50336 56342 60676 69344 71708 81952 88088 95348 112684 121352 143416 166859 176176 190696 197197 225368 242704 286832 309881 333718 352352 381392 394394 450736 485408 573664 619762 667436 762784 788788 901472 1239524 1334872 1577576 2169167 2479048 2669744 3155152 4338334 4958096 5339488 6310304 8676668 9916192 17353336 34706672 69413344