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319228404 = 223112989937
BaseRepresentation
bin10011000001110…
…000100111110100
3211020200111001020
4103001300213310
51123210302104
651402101140
710624253025
oct2301604764
9736614036
10319228404
11154218030
128aaaa7b0
13511a0c61
143057ac4c
151d05b2d9
hex130709f4

319228404 has 96 divisors (see below), whose sum is σ = 850953600. Its totient is φ = 92252160.

The previous prime is 319228391. The next prime is 319228439. The reversal of 319228404 is 404822913.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340224 + ... + 341160.

It is an arithmetic number, because the mean of its divisors is an integer number (8864100).

Almost surely, 2319228404 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 319228404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425476800).

319228404 is an abundant number, since it is smaller than the sum of its proper divisors (531725196).

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

319228404 is a wasteful number, since it uses less digits than its factorization.

319228404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 319228404 is about 17866.9640398138. The cubic root of 319228404 is about 683.4401817981.

The spelling of 319228404 in words is "three hundred nineteen million, two hundred twenty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 89 116 132 174 178 267 319 348 356 534 638 937 957 979 1068 1276 1874 1914 1958 2581 2811 2937 3748 3828 3916 5162 5622 5874 7743 10307 10324 11244 11748 15486 20614 27173 28391 30921 30972 41228 54346 56782 61842 81519 83393 85173 108692 113564 123684 163038 166786 170346 250179 298903 326076 333572 340692 500358 597806 896709 917323 1000716 1195612 1793418 1834646 2418397 2751969 3586836 3669292 4836794 5503938 7255191 9673588 11007876 14510382 26602367 29020764 53204734 79807101 106409468 159614202 319228404