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122343340 = 22576713043
BaseRepresentation
bin1110100101011…
…00111110101100
322112012200111211
413102230332230
5222304441330
620050124204
73013621060
oct722547654
9275180454
10122343340
11630723a9
1234b80664
131c467712
1412369aa0
15ab19d2a
hex74acfac

122343340 has 48 divisors (see below), whose sum is σ = 298029312. Its totient is φ = 41317056.

The previous prime is 122343311. The next prime is 122343341. The reversal of 122343340 is 43343221.

122343340 = T475 + T476 + ... + T943.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122343341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2859 + ... + 15901.

It is an arithmetic number, because the mean of its divisors is an integer number (6208944).

Almost surely, 2122343340 is an apocalyptic number.

122343340 is a gapful number since it is divisible by the number (10) 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 122343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149014656).

122343340 is an abundant number, since it is smaller than the sum of its proper divisors (175685972).

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

122343340 is a wasteful number, since it uses less digits than its factorization.

122343340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13126 (or 13124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 122343340 is about 11060.8923690632. The cubic root of 122343340 is about 496.4323915505.

Adding to 122343340 its reverse (43343221), we get a palindrome (165686561).

The spelling of 122343340 in words is "one hundred twenty-two million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 13043 26086 52172 65215 91301 130430 182602 260860 365204 456505 873881 913010 1747762 1826020 3495524 4369405 6117167 8738810 12234334 17477620 24468668 30585835 61171670 122343340