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3134422320 = 243513060093
BaseRepresentation
bin1011101011010011…
…0111110100110000
322002102222011002120
42322310313310300
522404403003240
61235005314240
7140450102331
oct27264676460
98072864076
103134422320
111369332977
12735865980
133ac4bab83
1421a3d8288
15135297ad0
hexbad37d30

3134422320 has 40 divisors (see below), whose sum is σ = 9716709936. Its totient is φ = 835845888.

The previous prime is 3134422301. The next prime is 3134422327. The reversal of 3134422320 is 232244313.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×31344223203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3134422327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6529807 + ... + 6530286.

Almost surely, 23134422320 is an apocalyptic number.

3134422320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134422320 is an abundant number, since it is smaller than the sum of its proper divisors (6582287616).

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

3134422320 is a wasteful number, since it uses less digits than its factorization.

3134422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13060109 (or 13060103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3134422320 is about 55985.9117993089. The cubic root of 3134422320 is about 1463.4767830804.

Adding to 3134422320 its reverse (232244313), we get a palindrome (3366666633).

The spelling of 3134422320 in words is "three billion, one hundred thirty-four million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13060093 26120186 39180279 52240372 65300465 78360558 104480744 130600930 156721116 195901395 208961488 261201860 313442232 391802790 522403720 626884464 783605580 1044807440 1567211160 3134422320