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342123320 = 235711113983
BaseRepresentation
bin10100011001000…
…110001100111000
3212211202122222002
4110121012030320
51200040421240
653540520132
711323000040
oct2431061470
9784678862
10342123320
11166135350
12966b0048
1355b58c46
143361a720
152007ed15
hex14646338

342123320 has 128 divisors (see below), whose sum is σ = 969200640. Its totient is φ = 105584640.

The previous prime is 342123289. The next prime is 342123323. The reversal of 342123320 is 23321243.

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 = 342123292 and 342123301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342123323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347549 + ... + 348531.

It is an arithmetic number, because the mean of its divisors is an integer number (7571880).

Almost surely, 2342123320 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 342123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484600320).

342123320 is an abundant number, since it is smaller than the sum of its proper divisors (627077320).

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

342123320 is a wasteful number, since it uses less digits than its factorization.

342123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 342123320 is about 18496.5758993388. The cubic root of 342123320 is about 699.4031102246.

Adding to 342123320 its reverse (23321243), we get a palindrome (365444563).

The spelling of 342123320 in words is "three hundred forty-two million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 113 140 154 220 226 280 308 385 440 452 565 616 770 791 904 983 1130 1243 1540 1582 1966 2260 2486 3080 3164 3932 3955 4520 4915 4972 6215 6328 6881 7864 7910 8701 9830 9944 10813 12430 13762 15820 17402 19660 21626 24860 27524 31640 34405 34804 39320 43252 43505 49720 54065 55048 68810 69608 75691 86504 87010 108130 111079 137620 151382 174020 216260 222158 275240 302764 348040 378455 432520 444316 555395 605528 756910 777553 888632 1110790 1221869 1513820 1555106 2221580 2443738 3027640 3110212 3887765 4443160 4887476 6109345 6220424 7775530 8553083 9774952 12218690 15551060 17106166 24437380 31102120 34212332 42765415 48874760 68424664 85530830 171061660 342123320