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319049016 = 233111327151
BaseRepresentation
bin10011000001000…
…100110100111000
3211020100100222020
4103001010310320
51123134032031
651354154440
710622605026
oct2301046470
9736310866
10319049016
11154105280
128aa22a20
135113a400
1430531716
151d023096
hex13044d38

319049016 has 96 divisors (see below), whose sum is σ = 942347520. Its totient is φ = 89232000.

The previous prime is 319049011. The next prime is 319049051. The reversal of 319049016 is 610940913.

It is a super-2 number, since 2×3190490162 = 203584549221136512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319049011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41041 + ... + 48191.

It is an arithmetic number, because the mean of its divisors is an integer number (9816120).

Almost surely, 2319049016 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 319049016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471173760).

319049016 is an abundant number, since it is smaller than the sum of its proper divisors (623298504).

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

319049016 is a wasteful number, since it uses less digits than its factorization.

319049016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 319049016 is about 17861.9432313508. The cubic root of 319049016 is about 683.3121397882.

Adding to 319049016 its reverse (610940913), we get a palindrome (929989929).

The spelling of 319049016 in words is "three hundred nineteen million, forty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 312 338 429 507 572 676 858 1014 1144 1352 1716 1859 2028 3432 3718 4056 5577 7151 7436 11154 14302 14872 21453 22308 28604 42906 44616 57208 78661 85812 92963 157322 171624 185926 235983 278889 314644 371852 471966 557778 629288 743704 943932 1022593 1115556 1208519 1887864 2045186 2231112 2417038 3067779 3625557 4090372 4834076 6135558 7251114 8180744 9668152 12271116 13293709 14502228 24542232 26587418 29004456 39881127 53174836 79762254 106349672 159524508 319049016