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122431344 = 2437364379
BaseRepresentation
bin1110100110000…
…10011101110000
322112101011020020
413103002131300
5222320300334
620052043440
73014435460
oct723023560
9275334206
10122431344
1163122532
1235003580
131c4987a9
141238dba0
15ab35e49
hex74c2770

122431344 has 40 divisors (see below), whose sum is σ = 361464960. Its totient is φ = 34980288.

The previous prime is 122431333. The next prime is 122431403. The reversal of 122431344 is 443134221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181854 + ... + 182525.

It is an arithmetic number, because the mean of its divisors is an integer number (9036624).

Almost surely, 2122431344 is an apocalyptic number.

122431344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122431344 is an abundant number, since it is smaller than the sum of its proper divisors (239033616).

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

122431344 is a wasteful number, since it uses less digits than its factorization.

122431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364397 (or 364391 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 122431344 is about 11064.8698139653. The cubic root of 122431344 is about 496.5513942553.

Adding to 122431344 its reverse (443134221), we get a palindrome (565565565).

The spelling of 122431344 in words is "one hundred twenty-two million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 364379 728758 1093137 1457516 2186274 2550653 2915032 4372548 5101306 5830064 7651959 8745096 10202612 15303918 17490192 20405224 30607836 40810448 61215672 122431344