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319423104 = 273271113277
BaseRepresentation
bin10011000010100…
…000001010000000
3211021001101010100
4103002200022000
51123233014404
651410202400
710626023460
oct2302401200
9737041110
10319423104
11154340340
128ab83400
135123b770
14305cbba0
151d098d39
hex130a0280

319423104 has 384 divisors, whose sum is σ = 1238590080. Its totient is φ = 76308480.

The previous prime is 319423099. The next prime is 319423121. The reversal of 319423104 is 401324913.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3194231042 = 204062238737989632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153014 + ... + 1153290.

It is an arithmetic number, because the mean of its divisors is an integer number (3225495).

Almost surely, 2319423104 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 319423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619295040).

319423104 is an abundant number, since it is smaller than the sum of its proper divisors (919166976).

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

319423104 is a wasteful number, since it uses less digits than its factorization.

319423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 319423104 is about 17872.4118126234. The cubic root of 319423104 is about 683.5790988016.

The spelling of 319423104 in words is "three hundred nineteen million, four hundred twenty-three thousand, one hundred four".