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344444004 = 223217717927
BaseRepresentation
bin10100100001111…
…100110001100100
3220000010120100100
4110201330301210
51201134202004
654102344100
711351503632
oct2441746144
9800116310
10344444004
1116747a973
129742b030
135648c328
1433a62352
152038c739
hex1487cc64

344444004 has 72 divisors (see below), whose sum is σ = 934996608. Its totient is φ = 106525440.

The previous prime is 344443961. The next prime is 344444017. The reversal of 344444004 is 400444443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39489 + ... + 47415.

It is an arithmetic number, because the mean of its divisors is an integer number (12986064).

Almost surely, 2344444004 is an apocalyptic number.

344444004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344444004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467498304).

344444004 is an abundant number, since it is smaller than the sum of its proper divisors (590552604).

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

344444004 is a wasteful number, since it uses less digits than its factorization.

344444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 344444004 is about 18559.2026768393. The cubic root of 344444004 is about 700.9809403698.

Adding to 344444004 its reverse (400444443), we get a palindrome (744888447).

The spelling of 344444004 in words is "three hundred forty-four million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 204 213 284 306 426 612 639 852 1207 1278 2414 2556 3621 4828 7242 7927 10863 14484 15854 21726 23781 31708 43452 47562 71343 95124 134759 142686 269518 285372 404277 539036 562817 808554 1125634 1212831 1617108 1688451 2251268 2425662 3376902 4851324 5065353 6753804 9567889 10130706 19135778 20261412 28703667 38271556 57407334 86111001 114814668 172222002 344444004