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442190349 = 321715531861
BaseRepresentation
bin11010010110110…
…100101000001101
31010211001121010100
4122112310220031
51401200042344
6111513401313
713646361456
oct3226645015
91124047110
10442190349
11207672177
12104109239
13707c40c3
1442a2812d
1528c49569
hex1a5b4a0d

442190349 has 24 divisors (see below), whose sum is σ = 677090232. Its totient is φ = 277125120.

The previous prime is 442190321. The next prime is 442190351. The reversal of 442190349 is 943091244.

It can be written as a sum of positive squares in 4 ways, for example, as 1946025 + 440244324 = 1395^2 + 20982^2 .

It is not a de Polignac number, because 442190349 - 25 = 442190317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442190389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236679 + ... + 238539.

It is an arithmetic number, because the mean of its divisors is an integer number (28212093).

Almost surely, 2442190349 is an apocalyptic number.

It is an amenable number.

442190349 is a deficient number, since it is larger than the sum of its proper divisors (234899883).

442190349 is a wasteful number, since it uses less digits than its factorization.

442190349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 442190349 is about 21028.3225436553. The cubic root of 442190349 is about 761.8504935361.

The spelling of 442190349 in words is "four hundred forty-two million, one hundred ninety thousand, three hundred forty-nine".

Divisors: 1 3 9 17 51 153 1553 1861 4659 5583 13977 16749 26401 31637 79203 94911 237609 284733 2890133 8670399 26011197 49132261 147396783 442190349