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2320880040 = 23345716321
BaseRepresentation
bin1000101001010101…
…1101000110101000
312222202010220220000
42022111131012220
514223121130130
61022144303000
7111341104053
oct21225350650
95882126800
102320880040
11a91092586
12549311a60
132acaa5ccb
14180345a9a
15d8b48260
hex8a55d1a8

2320880040 has 80 divisors (see below), whose sum is σ = 7800746580. Its totient is φ = 618900480.

The previous prime is 2320880027. The next prime is 2320880041. The reversal of 2320880040 is 400880232.

It can be written as a sum of positive squares in 2 ways, for example, as 2026620324 + 294259716 = 45018^2 + 17154^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2320879986 and 2320880013.

It is not an unprimeable number, because it can be changed into a prime (2320880041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354921 + ... + 361400.

Almost surely, 22320880040 is an apocalyptic number.

2320880040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320880040 is an abundant number, since it is smaller than the sum of its proper divisors (5479866540).

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

2320880040 is a wasteful number, since it uses less digits than its factorization.

2320880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716344 (or 716331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2320880040 is about 48175.5128670157. The cubic root of 2320880040 is about 1323.9885557436.

The spelling of 2320880040 in words is "two billion, three hundred twenty million, eight hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 716321 1432642 2148963 2865284 3581605 4297926 5730568 6446889 7163210 8595852 10744815 12893778 14326420 17191704 19340667 21489630 25787556 28652840 32234445 38681334 42979260 51575112 58022001 64468890 77362668 85958520 96703335 116044002 128937780 154725336 193406670 232088004 257875560 290110005 386813340 464176008 580220010 773626680 1160440020 2320880040