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3144093900 = 2235217616489
BaseRepresentation
bin1011101101100111…
…0001000011001100
322010010011112000020
42323121301003030
522414342001100
61235552502140
7140625233343
oct27331610314
98103145006
103144093900
111373839312
12738b4a950
133b14c60bc
1421b7d4b5a
151360585a0
hexbb6710cc

3144093900 has 72 divisors (see below), whose sum is σ = 9632039760. Its totient is φ = 789104640.

The previous prime is 3144093871. The next prime is 3144093929. The reversal of 3144093900 is 93904413.

3144093900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3144093871) and next prime (3144093929).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303145 + ... + 313344.

It is an arithmetic number, because the mean of its divisors is an integer number (133778330).

Almost surely, 23144093900 is an apocalyptic number.

3144093900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144093900 is an abundant number, since it is smaller than the sum of its proper divisors (6487945860).

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

3144093900 is a wasteful number, since it uses less digits than its factorization.

3144093900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616523 (or 616516 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3144093900 is about 56072.2203947730. The cubic root of 3144093900 is about 1464.9804732067.

The spelling of 3144093900 in words is "three billion, one hundred forty-four million, ninety-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 616489 1232978 1849467 2465956 3082445 3698934 6164890 7397868 9247335 10480313 12329780 15412225 18494670 20960626 30824450 31440939 36989340 41921252 46236675 52401565 61648900 62881878 92473350 104803130 125763756 157204695 184946700 209606260 262007825 314409390 524015650 628818780 786023475 1048031300 1572046950 3144093900