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319493964 = 223375313577
BaseRepresentation
bin10011000010110…
…001011101001100
3211021011222022210
4103002301131030
51123242301324
651411510420
710626440166
oct2302613514
9737158283
10319493964
111543895a9
128abb8410
1351264aaa
1430609936
151d0aed29
hex130b174c

319493964 has 48 divisors (see below), whose sum is σ = 780137568. Its totient is φ = 101657088.

The previous prime is 319493821. The next prime is 319493981. The reversal of 319493964 is 469394913.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 16744 + ... + 30320.

It is an arithmetic number, because the mean of its divisors is an integer number (16252866).

Almost surely, 2319493964 is an apocalyptic number.

It is an amenable number.

319493964 is an abundant number, since it is smaller than the sum of its proper divisors (460643604).

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

319493964 is a wasteful number, since it uses less digits than its factorization.

319493964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13674 (or 13672 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The square root of 319493964 is about 17874.3940876327. The cubic root of 319493964 is about 683.6296428741.

The spelling of 319493964 in words is "three hundred nineteen million, four hundred ninety-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 37 53 74 106 111 148 159 212 222 318 444 636 1961 3922 5883 7844 11766 13577 23532 27154 40731 54308 81462 162924 502349 719581 1004698 1439162 1507047 2009396 2158743 2878324 3014094 4317486 6028188 8634972 26624497 53248994 79873491 106497988 159746982 319493964