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319031104 = 2674316561
BaseRepresentation
bin10011000001000…
…000011101000000
3211020022110101211
4103001000131000
51123132443404
651353535504
710622501560
oct2301003500
9736273354
10319031104
111540a2877
128aa14594
1351132202
1430528da0
151d01cb04
hex13040740

319031104 has 56 divisors (see below), whose sum is σ = 740387648. Its totient is φ = 133539840.

The previous prime is 319031101. The next prime is 319031107. The reversal of 319031104 is 401130913.

It is an interprime number because it is at equal distance from previous prime (319031101) and next prime (319031107).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319031101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10984 + ... + 27544.

It is an arithmetic number, because the mean of its divisors is an integer number (13221208).

Almost surely, 2319031104 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 319031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370193824).

319031104 is an abundant number, since it is smaller than the sum of its proper divisors (421356544).

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

319031104 is a wasteful number, since it uses less digits than its factorization.

319031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16623 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 319031104 is about 17861.4418231004. The cubic root of 319031104 is about 683.2993520811.

The spelling of 319031104 in words is "three hundred nineteen million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2752 4816 9632 16561 19264 33122 66244 115927 132488 231854 264976 463708 529952 712123 927416 1059904 1424246 1854832 2848492 3709664 4984861 5696984 7419328 9969722 11393968 19939444 22787936 39878888 45575872 79757776 159515552 319031104