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2321387040 = 25357690889
BaseRepresentation
bin1000101001011101…
…1000111000100000
312222210002200100210
42022113120320200
514223233341130
61022203214120
7111345315150
oct21227307040
95883080323
102321387040
11a913a9495
12549517340
132acc229cb
14180438760
15d8be85b0
hex8a5d8e20

2321387040 has 96 divisors (see below), whose sum is σ = 8357005440. Its totient is φ = 530601984.

The previous prime is 2321387039. The next prime is 2321387051. The reversal of 2321387040 is 407831232.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2321386989 and 2321387007.

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 15 ways as a sum of consecutive naturals, for example, 342085 + ... + 348804.

It is an arithmetic number, because the mean of its divisors is an integer number (87052140).

Almost surely, 22321387040 is an apocalyptic number.

2321387040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321387040 is an abundant number, since it is smaller than the sum of its proper divisors (6035618400).

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

2321387040 is a wasteful number, since it uses less digits than its factorization.

2321387040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690914 (or 690906 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2321387040 is about 48180.7745890412. The cubic root of 2321387040 is about 1324.0849578717.

The spelling of 2321387040 in words is "two billion, three hundred twenty-one million, three hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 690889 1381778 2072667 2763556 3454445 4145334 4836223 5527112 6908890 8290668 9672446 10363335 11054224 13817780 14508669 16581336 19344892 20726670 22108448 24181115 27635560 29017338 33162672 38689784 41453340 48362230 55271120 58034676 66325344 72543345 77379568 82906680 96724460 110542240 116069352 145086690 154759136 165813360 193448920 232138704 290173380 331626720 386897840 464277408 580346760 773795680 1160693520 2321387040