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319694364 = 223411271331
BaseRepresentation
bin10011000011100…
…010011000011100
3211021120011020000
4103003202120130
51123320204424
651420054300
710631233353
oct2303423034
9737504200
10319694364
11154506120
128b094390
1351305082
143065c99a
151d0ee3c9
hex130e261c

319694364 has 120 divisors (see below), whose sum is σ = 917849856. Its totient is φ = 96228000.

The previous prime is 319694363. The next prime is 319694371. The reversal of 319694364 is 463496913.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319694363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 965679 + ... + 966009.

Almost surely, 2319694364 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 319694364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458924928).

319694364 is an abundant number, since it is smaller than the sum of its proper divisors (598155492).

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

319694364 is a wasteful number, since it uses less digits than its factorization.

319694364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 319694364 is about 17879.9989932886. The cubic root of 319694364 is about 683.7725467178.

The spelling of 319694364 in words is "three hundred nineteen million, six hundred ninety-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 271 297 324 331 396 542 594 662 813 891 993 1084 1188 1324 1626 1782 1986 2439 2979 2981 3252 3564 3641 3972 4878 5958 5962 7282 7317 8937 8943 9756 10923 11916 11924 14564 14634 17874 17886 21846 21951 26811 26829 29268 32769 35748 35772 43692 43902 53622 53658 65538 80487 87804 89701 98307 107244 107316 131076 160974 179402 196614 241461 269103 294921 321948 358804 393228 482922 538206 589842 807309 965844 986711 1076412 1179684 1614618 1973422 2421927 2960133 3229236 3946844 4843854 5920266 7265781 8880399 9687708 11840532 14531562 17760798 26641197 29063124 35521596 53282394 79923591 106564788 159847182 319694364