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122303034 = 2347293719
BaseRepresentation
bin1110100101000…
…11001000111010
322112010122020000
413102203020322
5222302144114
620045213430
73013362420
oct722431072
9275118200
10122303034
1163045097
1234b61276
131c452279
1412359110
15ab0ce09
hex74a323a

122303034 has 80 divisors (see below), whose sum is σ = 324086400. Its totient is φ = 33729696.

The previous prime is 122303023. The next prime is 122303039. The reversal of 122303034 is 430303221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122302998 and 122303016.

It is not an unprimeable number, because it can be changed into a prime (122303039) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 31027 + ... + 34745.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2122303034 is an apocalyptic number.

122303034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122303034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162043200).

122303034 is an abundant number, since it is smaller than the sum of its proper divisors (201783366).

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

122303034 is a wasteful number, since it uses less digits than its factorization.

122303034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 122303034 is about 11059.0702140822. The cubic root of 122303034 is about 496.3778690301.

Adding to 122303034 its reverse (430303221), we get a palindrome (552606255).

The spelling of 122303034 in words is "one hundred twenty-two million, three hundred three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 1134 1218 1566 1827 2349 3654 3719 4698 5481 7438 10962 11157 16443 22314 26033 32886 33471 52066 66942 78099 100413 107851 156198 200826 215702 234297 301239 323553 468594 602478 647106 702891 754957 970659 1405782 1509914 1941318 2108673 2264871 2911977 4217346 4529742 5823954 6794613 8735931 13589226 17471862 20383839 40767678 61151517 122303034