Search a number
-
+
3142364256 = 253288712301
BaseRepresentation
bin1011101101001100…
…1010110001100000
322002222220122101100
42323103022301200
522413421124011
61235451434400
7140604440553
oct27323126140
98088818340
103142364256
111372867859
12738455a00
133b103ba45
1421b4a469a
15135d15d56
hexbb4cac60

3142364256 has 72 divisors (see below), whose sum is σ = 8946900144. Its totient is φ = 1046188800.

The previous prime is 3142364233. The next prime is 3142364287. The reversal of 3142364256 is 6524632413.

3142364256 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 3 + 642 + 5 + 6 = 666.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3142364256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249306 + ... + 261606.

It is an arithmetic number, because the mean of its divisors is an integer number (124262502).

Almost surely, 23142364256 is an apocalyptic number.

3142364256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3142364256 is an abundant number, since it is smaller than the sum of its proper divisors (5804535888).

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

3142364256 is a wasteful number, since it uses less digits than its factorization.

3142364256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13193 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3142364256 is about 56056.7949137301. The cubic root of 3142364256 is about 1464.7117832374.

Adding to 3142364256 its reverse (6524632413), we get a palindrome (9666996669).

The spelling of 3142364256 in words is "three billion, one hundred forty-two million, three hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 887 1774 2661 3548 5322 7096 7983 10644 12301 14192 15966 21288 24602 28384 31932 36903 42576 49204 63864 73806 85152 98408 110709 127728 147612 196816 221418 255456 295224 393632 442836 590448 885672 1180896 1771344 3542688 10910987 21821974 32732961 43643948 65465922 87287896 98198883 130931844 174575792 196397766 261863688 349151584 392795532 523727376 785591064 1047454752 1571182128 3142364256