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2364314340 = 2235179220141
BaseRepresentation
bin1000110011101100…
…1001001011100100
320002202212121112210
42030323021023210
514320231024330
61030335243420
7112406224503
oct21473111344
96082777483
102364314340
1110036593a3
1255b979570
132b8aa2a8b
1418601083a
15dc8778b0
hex8cec92e4

2364314340 has 48 divisors (see below), whose sum is σ = 6657094080. Its totient is φ = 626958720.

The previous prime is 2364314333. The next prime is 2364314347. The reversal of 2364314340 is 434134632.

It is an interprime number because it is at equal distance from previous prime (2364314333) and next prime (2364314347).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2364314298 and 2364314307.

It is not an unprimeable number, because it can be changed into a prime (2364314347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99331 + ... + 120810.

It is an arithmetic number, because the mean of its divisors is an integer number (138689460).

Almost surely, 22364314340 is an apocalyptic number.

2364314340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2364314340 is an abundant number, since it is smaller than the sum of its proper divisors (4292779740).

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

2364314340 is a wasteful number, since it uses less digits than its factorization.

2364314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220332 (or 220330 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2364314340 is about 48624.2155720789. The cubic root of 2364314340 is about 1332.1968592341.

Adding to 2364314340 its reverse (434134632), we get a palindrome (2798448972).

The spelling of 2364314340 in words is "two billion, three hundred sixty-four million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1790 2148 2685 3580 5370 10740 220141 440282 660423 880564 1100705 1320846 2201410 2641692 3302115 4402820 6604230 13208460 39405239 78810478 118215717 157620956 197026195 236431434 394052390 472862868 591078585 788104780 1182157170 2364314340