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122344404 = 223713199563
BaseRepresentation
bin1110100101011…
…01001111010100
322112012201222020
413102231033110
5222310010104
620050133140
73013624140
oct722551724
9275181866
10122344404
1163073186
1234b811b0
131c468050
141236a220
15ab1a2d9
hex74ad3d4

122344404 has 96 divisors (see below), whose sum is σ = 353740800. Its totient is φ = 32047488.

The previous prime is 122344403. The next prime is 122344421. The reversal of 122344404 is 404443221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122344403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217027 + ... + 217589.

It is an arithmetic number, because the mean of its divisors is an integer number (3684800).

Almost surely, 2122344404 is an apocalyptic number.

122344404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122344404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176870400).

122344404 is an abundant number, since it is smaller than the sum of its proper divisors (231396396).

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

122344404 is a wasteful number, since it uses less digits than its factorization.

122344404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 122344404 is about 11060.9404663437. The cubic root of 122344404 is about 496.4338306767.

Adding to 122344404 its reverse (404443221), we get a palindrome (526787625).

The spelling of 122344404 in words is "one hundred twenty-two million, three hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 199 273 364 398 546 563 597 796 1092 1126 1194 1393 1689 2252 2388 2587 2786 3378 3941 4179 5174 5572 6756 7319 7761 7882 8358 10348 11823 14638 15522 15764 16716 18109 21957 23646 29276 31044 36218 43914 47292 51233 54327 72436 87828 102466 108654 112037 153699 204932 217308 224074 307398 336111 448148 614796 672222 784259 1344444 1456481 1568518 2352777 2912962 3137036 4369443 4705554 5825924 8738886 9411108 10195367 17477772 20390734 30586101 40781468 61172202 122344404