Search a number
-
+
3023212320 = 253252099453
BaseRepresentation
bin1011010000110010…
…1000111100100000
321210200201002122200
42310030220330200
522142420243240
61215553533200
7134626611042
oct26414507440
97720632580
103023212320
111311585187
12704574200
13392450b3b
14209729a92
1512a62b930
hexb4328f20

3023212320 has 72 divisors (see below), whose sum is σ = 10316716956. Its totient is φ = 806189568.

The previous prime is 3023212259. The next prime is 3023212343. The reversal of 3023212320 is 232123203.

It is a happy number.

3023212320 is a `hidden beast` number, since 302 + 32 + 12 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3008741904 + 14470416 = 54852^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 3023212293 and 3023212302.

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 11 ways as a sum of consecutive naturals, for example, 1048287 + ... + 1051166.

Almost surely, 23023212320 is an apocalyptic number.

3023212320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3023212320 is an abundant number, since it is smaller than the sum of its proper divisors (7293504636).

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

3023212320 is a wasteful number, since it uses less digits than its factorization.

3023212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099474 (or 2099463 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3023212320 is about 54983.7459618750. The cubic root of 3023212320 is about 1445.9597906669.

Adding to 3023212320 its reverse (232123203), we get a palindrome (3255335523).

The spelling of 3023212320 in words is "three billion, twenty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2099453 4198906 6298359 8397812 10497265 12596718 16795624 18895077 20994530 25193436 31491795 33591248 37790154 41989060 50386872 62983590 67182496 75580308 83978120 94475385 100773744 125967180 151160616 167956240 188950770 201547488 251934360 302321232 335912480 377901540 503868720 604642464 755803080 1007737440 1511606160 3023212320