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319841424 = 24327245329
BaseRepresentation
bin10011000100000…
…110010010010000
3211021211121221200
4103010012102100
51123334411144
651423151200
710632415200
oct2304062220
9737747850
10319841424
111545a6661
128b145500
1351356ca6
143069a400
151d12cc69
hex13106490

319841424 has 90 divisors (see below), whose sum is σ = 1041275430. Its totient is φ = 91381248.

The previous prime is 319841407. The next prime is 319841443. The reversal of 319841424 is 424148913.

It is a happy number.

319841424 is a `hidden beast` number, since 3 + 198 + 41 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 282240000 + 37601424 = 16800^2 + 6132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15609 + ... + 29720.

It is an arithmetic number, because the mean of its divisors is an integer number (11569727).

Almost surely, 2319841424 is an apocalyptic number.

It is an amenable number.

319841424 is an abundant number, since it is smaller than the sum of its proper divisors (721434006).

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

319841424 is a wasteful number, since it uses less digits than its factorization.

319841424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45357 (or 45341 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 319841424 is about 17884.1109368064. The cubic root of 319841424 is about 683.8773761918.

The spelling of 319841424 in words is "three hundred nineteen million, eight hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 45329 90658 135987 181316 271974 317303 362632 407961 543948 634606 725264 815922 951909 1087896 1269212 1631844 1903818 2175792 2221121 2538424 2855727 3263688 3807636 4442242 5076848 5711454 6527376 6663363 7615272 8884484 11422908 13326726 15230544 17768968 19990089 22845816 26653452 35537936 39980178 45691632 53306904 79960356 106613808 159920712 319841424