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3144311320 = 235412816823
BaseRepresentation
bin1011101101101010…
…0110001000011000
322010010120120020211
42323122212020120
522414420430240
61240001300504
7140630130253
oct27332461030
98103516224
103144311320
1113739776a7
12739034734
133b1571057
1421b85009a
1513609cbea
hexbb6a6218

3144311320 has 64 divisors (see below), whose sum is σ = 7274111040. Its totient is φ = 1222502400.

The previous prime is 3144311281. The next prime is 3144311321. The reversal of 3144311320 is 231134413.

It is a junction number, because it is equal to n+sod(n) for n = 3144311291 and 3144311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144311321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457429 + ... + 464251.

It is an arithmetic number, because the mean of its divisors is an integer number (113657985).

Almost surely, 23144311320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637055520).

3144311320 is an abundant number, since it is smaller than the sum of its proper divisors (4129799720).

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

3144311320 is a wasteful number, since it uses less digits than its factorization.

3144311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3144311320 is about 56074.1591109488. The cubic root of 3144311320 is about 1465.0142411457.

Adding to 3144311320 its reverse (231134413), we get a palindrome (3375445733).

The spelling of 3144311320 in words is "three billion, one hundred forty-four million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 281 328 410 562 820 1124 1405 1640 2248 2810 5620 6823 11240 11521 13646 23042 27292 34115 46084 54584 57605 68230 92168 115210 136460 230420 272920 279743 460840 559486 1118972 1398715 1917263 2237944 2797430 3834526 5594860 7669052 9586315 11189720 15338104 19172630 38345260 76690520 78607783 157215566 314431132 393038915 628862264 786077830 1572155660 3144311320