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2342121320 = 2357111017529
BaseRepresentation
bin1000101110011001…
…1110111101101000
320001020010002110002
42023212132331220
514244040340240
61024223442132
7112016463020
oct21346367550
96036102402
102342121320
11aa2080460
12554456348
132b4302406
141830b4a80
15da941d15
hex8b99ef68

2342121320 has 128 divisors (see below), whose sum is σ = 6636038400. Its totient is φ = 722688000.

The previous prime is 2342121293. The next prime is 2342121323. The reversal of 2342121320 is 231212432.

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 = 2342121292 and 2342121301.

It is not an unprimeable number, because it can be changed into a prime (2342121323) 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, 307316 + ... + 314844.

It is an arithmetic number, because the mean of its divisors is an integer number (51844050).

Almost surely, 22342121320 is an apocalyptic number.

2342121320 is a gapful number since it is divisible by the number (20) 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 2342121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318019200).

2342121320 is an abundant number, since it is smaller than the sum of its proper divisors (4293917080).

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

2342121320 is a wasteful number, since it uses less digits than its factorization.

2342121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2342121320 is about 48395.4679696353. The cubic root of 2342121320 is about 1328.0154547120.

Adding to 2342121320 its reverse (231212432), we get a palindrome (2573333752).

It can be divided in two parts, 234212 and 1320, that added together give a palindrome (235532).

The spelling of 2342121320 in words is "two billion, three hundred forty-two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 770 808 1010 1111 1414 1540 2020 2222 2828 3080 3535 4040 4444 5555 5656 7070 7529 7777 8888 11110 14140 15058 15554 22220 28280 30116 31108 37645 38885 44440 52703 60232 62216 75290 77770 82819 105406 150580 155540 165638 210812 263515 301160 311080 331276 414095 421624 527030 579733 662552 760429 828190 1054060 1159466 1520858 1656380 2108120 2318932 2898665 3041716 3312760 3802145 4637864 5323003 5797330 6083432 7604290 8364719 10646006 11594660 15208580 16729438 21292012 23189320 26615015 30417160 33458876 41823595 42584024 53230030 58553033 66917752 83647190 106460060 117106066 167294380 212920120 234212132 292765165 334588760 468424264 585530330 1171060660 2342121320