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2301345340 = 2257109239631
BaseRepresentation
bin1000100100101011…
…1011111000111100
312221101101110022121
42021022323320330
514203121022330
61020205452324
7111013053430
oct21112737074
95841343277
102301345340
11a8105a8a8
125428710a4
132a8a26608
1417b8dc9c0
15d708a17a
hex892bbe3c

2301345340 has 96 divisors (see below), whose sum is σ = 5606092800. Its totient is φ = 777288960.

The previous prime is 2301345323. The next prime is 2301345401. The reversal of 2301345340 is 435431032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646825 + ... + 3647455.

It is an arithmetic number, because the mean of its divisors is an integer number (58396800).

Almost surely, 22301345340 is an apocalyptic number.

2301345340 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 2301345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803046400).

2301345340 is an abundant number, since it is smaller than the sum of its proper divisors (3304747460).

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

2301345340 is a wasteful number, since it uses less digits than its factorization.

2301345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2301345340 is about 47972.3393217383. The cubic root of 2301345340 is about 1320.2634422158.

Adding to 2301345340 its reverse (435431032), we get a palindrome (2736776372).

The spelling of 2301345340 in words is "two billion, three hundred one million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 239 436 478 545 631 763 956 1090 1195 1262 1526 1673 2180 2390 2524 3052 3155 3346 3815 4417 4780 6310 6692 7630 8365 8834 12620 15260 16730 17668 22085 26051 33460 44170 52102 68779 88340 104204 130255 137558 150809 182357 260510 275116 301618 343895 364714 481453 521020 603236 687790 729428 754045 911785 962906 1055663 1375580 1508090 1823570 1925812 2111326 2407265 3016180 3647140 4222652 4814530 5278315 9629060 10556630 16438181 21113260 32876362 65752724 82190905 115067267 164381810 230134534 328763620 460269068 575336335 1150672670 2301345340