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344431120 = 24511391399
BaseRepresentation
bin10100100001111…
…001101000010000
3220000002220200011
4110201321220100
51201133243440
654102204304
711351421235
oct2441715020
9800086604
10344431120
11167471220
1297423694
13564864c7
1433a5b78c
15203889ea
hex14879a10

344431120 has 40 divisors (see below), whose sum is σ = 873604800. Its totient is φ = 125247360.

The previous prime is 344431051. The next prime is 344431133. The reversal of 344431120 is 21134443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 344431091 and 344431100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194820 + ... + 196579.

It is an arithmetic number, because the mean of its divisors is an integer number (21840120).

Almost surely, 2344431120 is an apocalyptic number.

It is an amenable number.

344431120 is an abundant number, since it is smaller than the sum of its proper divisors (529173680).

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

344431120 is a wasteful number, since it uses less digits than its factorization.

344431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391423 (or 391417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 344431120 is about 18558.8555681648. The cubic root of 344431120 is about 700.9722001480.

Adding to 344431120 its reverse (21134443), we get a palindrome (365565563).

The spelling of 344431120 in words is "three hundred forty-four million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 391399 782798 1565596 1956995 3131192 3913990 4305389 6262384 7827980 8610778 15655960 17221556 21526945 31311920 34443112 43053890 68886224 86107780 172215560 344431120