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342831120 = 24351499587
BaseRepresentation
bin10100011011110…
…011000000010000
3212220002121212220
4110123303000100
51200231043440
654004021040
711332005432
oct2433630020
9786077786
10342831120
11166579105
1296991780
1356046168
1433762652
152016e8d0
hex146f3010

342831120 has 80 divisors (see below), whose sum is σ = 1070020800. Its totient is φ = 90798592.

The previous prime is 342831119. The next prime is 342831133. The reversal of 342831120 is 21138243.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30967 + ... + 40553.

It is an arithmetic number, because the mean of its divisors is an integer number (13375260).

Almost surely, 2342831120 is an apocalyptic number.

342831120 is a gapful number since it is divisible by the number (30) 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 342831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535010400).

342831120 is an abundant number, since it is smaller than the sum of its proper divisors (727189680).

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

342831120 is a wasteful number, since it uses less digits than its factorization.

342831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9752 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 342831120 is about 18515.6992846611. The cubic root of 342831120 is about 699.8850967862.

Adding to 342831120 its reverse (21138243), we get a palindrome (363969363).

The spelling of 342831120 in words is "three hundred forty-two million, eight hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 5960 7152 8940 9587 11920 17880 19174 28761 35760 38348 47935 57522 76696 95870 115044 143805 153392 191740 230088 287610 383480 460176 575220 766960 1150440 1428463 2300880 2856926 4285389 5713852 7142315 8570778 11427704 14284630 17141556 21426945 22855408 28569260 34283112 42853890 57138520 68566224 85707780 114277040 171415560 342831120