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344444478 = 23759971433
BaseRepresentation
bin10100100001111…
…100111000111110
3220000010120222220
4110201330320332
51201134210403
654102350210
711351505210
oct2441747076
9800116886
10344444478
11167480264
129742b366
135648c601
1433a625b0
152038c953
hex1487ce3e

344444478 has 64 divisors (see below), whose sum is σ = 809464320. Its totient is φ = 95680512.

The previous prime is 344444473. The next prime is 344444479. The reversal of 344444478 is 874444443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344444473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239650 + ... + 241082.

It is an arithmetic number, because the mean of its divisors is an integer number (12647880).

Almost surely, 2344444478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344444478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404732160).

344444478 is an abundant number, since it is smaller than the sum of its proper divisors (465019842).

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

344444478 is a wasteful number, since it uses less digits than its factorization.

344444478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601.

The product of its digits is 688128, while the sum is 42.

The square root of 344444478 is about 18559.2154467801. The cubic root of 344444478 is about 700.9812619169.

The spelling of 344444478 in words is "three hundred forty-four million, four hundred forty-four thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 59 97 118 177 194 291 354 413 582 679 826 1239 1358 1433 2037 2478 2866 4074 4299 5723 8598 10031 11446 17169 20062 30093 34338 40061 60186 80122 84547 120183 139001 169094 240366 253641 278002 417003 507282 591829 834006 973007 1183658 1775487 1946014 2919021 3550974 5838042 8201059 16402118 24603177 49206354 57407413 114814826 172222239 344444478