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319435644 = 2231121712941
BaseRepresentation
bin10011000010100…
…011001101111100
3211021002000022210
4103002203031330
51123233420034
651410340420
710626105153
oct2302431574
9737060283
10319435644
11154349800
128ab8a710
1351244398
14305d259a
151d09c8e9
hex130a337c

319435644 has 72 divisors (see below), whose sum is σ = 867528144. Its totient is φ = 91097600.

The previous prime is 319435621. The next prime is 319435673. The reversal of 319435644 is 446534913.

It is a congruent number.

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, 18214 + ... + 31154.

It is an arithmetic number, because the mean of its divisors is an integer number (12049002).

Almost surely, 2319435644 is an apocalyptic number.

319435644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319435644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433764072).

319435644 is an abundant number, since it is smaller than the sum of its proper divisors (548092500).

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

319435644 is a wasteful number, since it uses less digits than its factorization.

319435644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12987 (or 12974 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 319435644 is about 17872.7626292076. The cubic root of 319435644 is about 683.5880440632.

The spelling of 319435644 in words is "three hundred nineteen million, four hundred thirty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 4114 6171 8228 12342 12941 24684 25882 38823 51764 77646 142351 155292 219997 284702 427053 439994 569404 659991 854106 879988 1319982 1565861 1708212 2419967 2639964 3131722 4697583 4839934 6263444 7259901 9395166 9679868 14519802 18790332 26619637 29039604 53239274 79858911 106478548 159717822 319435644