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342242120 = 235115691367
BaseRepresentation
bin10100011001100…
…011001101001000
3212211222200221002
4110121203031020
51200103221440
653543234132
711324003303
oct2431431510
9784880832
10342242120
11166206630
1296748948
1355b9b03c
143364bb3a
15200a5115
hex14663348

342242120 has 64 divisors (see below), whose sum is σ = 842140800. Its totient is φ = 124142080.

The previous prime is 342242107. The next prime is 342242143. The reversal of 342242120 is 21242243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 342242092 and 342242101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249677 + ... + 251043.

It is an arithmetic number, because the mean of its divisors is an integer number (13158450).

Almost surely, 2342242120 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 342242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421070400).

342242120 is an abundant number, since it is smaller than the sum of its proper divisors (499898680).

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

342242120 is a wasteful number, since it uses less digits than its factorization.

342242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 342242120 is about 18499.7870258011. The cubic root of 342242120 is about 699.4840551832.

Adding to 342242120 its reverse (21242243), we get a palindrome (363484363).

The spelling of 342242120 in words is "three hundred forty-two million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 569 1138 1367 2276 2734 2845 4552 5468 5690 6259 6835 10936 11380 12518 13670 15037 22760 25036 27340 30074 31295 50072 54680 60148 62590 75185 120296 125180 150370 250360 300740 601480 777823 1555646 3111292 3889115 6222584 7778230 8556053 15556460 17112106 31112920 34224212 42780265 68448424 85560530 171121060 342242120