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2342101104 = 2432712831811
BaseRepresentation
bin1000101110011001…
…1010000001110000
320001020002001201100
42023212122001300
514244034213404
61024223204400
7112016350050
oct21346320160
96036061640
102342101104
11aa2067252
12554446700
132b42c6155
141830ab560
15da93ad39
hex8b99a070

2342101104 has 120 divisors (see below), whose sum is σ = 7500984192. Its totient is φ = 668280960.

The previous prime is 2342101093. The next prime is 2342101123. The reversal of 2342101104 is 4011012432.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292359 + ... + 1294169.

Almost surely, 22342101104 is an apocalyptic number.

2342101104 is a gapful number since it is divisible by the number (24) 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 2342101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750492096).

2342101104 is an abundant number, since it is smaller than the sum of its proper divisors (5158883088).

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

2342101104 is a wasteful number, since it uses less digits than its factorization.

2342101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2342101104 is about 48395.2591066522. The cubic root of 2342101104 is about 1328.0116337830.

Adding to 2342101104 its reverse (4011012432), we get a palindrome (6353113536).

The spelling of 2342101104 in words is "two billion, three hundred forty-two million, one hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1283 1811 2566 3622 3849 5132 5433 7244 7698 8981 10264 10866 11547 12677 14488 15396 16299 17962 20528 21732 23094 25354 26943 28976 30792 32598 35924 38031 43464 46188 50708 53886 61584 65196 71848 76062 80829 86928 92376 101416 107772 114093 130392 143696 152124 161658 184752 202832 215544 228186 260784 304248 323316 431088 456372 608496 646632 912744 1293264 1825488 2323513 4647026 6970539 9294052 13941078 16264591 18588104 20911617 27882156 32529182 37176208 41823234 48793773 55764312 65058364 83646468 97587546 111528624 130116728 146381319 167292936 195175092 260233456 292762638 334585872 390350184 585525276 780700368 1171050552 2342101104