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344414004 = 223114360679
BaseRepresentation
bin10100100001110…
…101011100110100
3220000002001012020
4110201311130310
51201132222004
654101553140
711351320314
oct2441653464
9800061166
10344414004
1116745a380
12974157b0
135647b78c
1433a55444
15203838d9
hex14875734

344414004 has 48 divisors (see below), whose sum is σ = 897093120. Its totient is φ = 101939040.

The previous prime is 344414003. The next prime is 344414011. The reversal of 344414004 is 400414443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344414003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24664 + ... + 36015.

It is an arithmetic number, because the mean of its divisors is an integer number (18689440).

Almost surely, 2344414004 is an apocalyptic number.

It is an amenable number.

344414004 is an abundant number, since it is smaller than the sum of its proper divisors (552679116).

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

344414004 is a wasteful number, since it uses less digits than its factorization.

344414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60740 (or 60738 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 344414004 is about 18558.3944348642. The cubic root of 344414004 is about 700.9605886934.

Adding to 344414004 its reverse (400414443), we get a palindrome (744828447).

The spelling of 344414004 in words is "three hundred forty-four million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 60679 121358 182037 242716 364074 667469 728148 1334938 2002407 2609197 2669876 4004814 5218394 7827591 8009628 10436788 15655182 28701167 31310364 57402334 86103501 114804668 172207002 344414004