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344412420 = 223511631827
BaseRepresentation
bin10100100001110…
…101000100000100
3220000001222000120
4110201311010010
51201132144140
654101541540
711351312562
oct2441650404
9800058016
10344412420
11167459170
12974148b0
135647ab41
1433a54a32
15203831d0
hex14875104

344412420 has 96 divisors (see below), whose sum is σ = 1054964736. Its totient is φ = 83260800.

The previous prime is 344412403. The next prime is 344412433. The reversal of 344412420 is 24214443.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416047 + ... + 416873.

It is an arithmetic number, because the mean of its divisors is an integer number (10989216).

Almost surely, 2344412420 is an apocalyptic number.

344412420 is a gapful number since it is divisible by the number (30) 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 344412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527482368).

344412420 is an abundant number, since it is smaller than the sum of its proper divisors (710552316).

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

344412420 is a wasteful number, since it uses less digits than its factorization.

344412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1479 counting only the distinct ones).

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

The square root of 344412420 is about 18558.3517587096. The cubic root of 344412420 is about 700.9595140920.

Adding to 344412420 its reverse (24214443), we get a palindrome (368626863).

The spelling of 344412420 in words is "three hundred forty-four million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 631 660 827 1262 1654 1893 2481 2524 3155 3308 3786 4135 4962 6310 6941 7572 8270 9097 9465 9924 12405 12620 13882 16540 18194 18930 20823 24810 27291 27764 34705 36388 37860 41646 45485 49620 54582 69410 83292 90970 104115 109164 136455 138820 181940 208230 272910 416460 521837 545820 1043674 1565511 2087348 2609185 3131022 5218370 5740207 6262044 7827555 10436740 11480414 15655110 17220621 22960828 28701035 31310220 34441242 57402070 68882484 86103105 114804140 172206210 344412420