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2342131120 = 24578946993
BaseRepresentation
bin1000101110011010…
…0001010110110000
320001020010120220001
42023212201112300
514244041143440
61024223555344
7112016533420
oct21346412660
96036116801
102342131120
11aa208785a
1255445bb54
132b4306a04
141830b8480
15da944b9a
hex8b9a15b0

2342131120 has 80 divisors (see below), whose sum is σ = 6293436480. Its totient is φ = 793976832.

The previous prime is 2342131093. The next prime is 2342131133. The reversal of 2342131120 is 211312432.

It is a happy number.

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

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, 26344 + ... + 73336.

It is an arithmetic number, because the mean of its divisors is an integer number (78667956).

Almost surely, 22342131120 is an apocalyptic number.

2342131120 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 2342131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146718240).

2342131120 is an abundant number, since it is smaller than the sum of its proper divisors (3951305360).

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

2342131120 is a wasteful number, since it uses less digits than its factorization.

2342131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47102 (or 47096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2342131120 is about 48395.5692186795. The cubic root of 2342131120 is about 1328.0173069550.

Adding to 2342131120 its reverse (211312432), we get a palindrome (2553443552).

The spelling of 2342131120 in words is "two billion, three hundred forty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 280 356 445 560 623 712 890 1246 1424 1780 2492 3115 3560 4984 6230 7120 9968 12460 24920 46993 49840 93986 187972 234965 328951 375944 469930 657902 751888 939860 1315804 1644755 1879720 2631608 3289510 3759440 4182377 5263216 6579020 8364754 13158040 16729508 20911885 26316080 29276639 33459016 41823770 58553278 66918032 83647540 117106556 146383195 167295080 234213112 292766390 334590160 468426224 585532780 1171065560 2342131120