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344347380 = 22325133147101
BaseRepresentation
bin10100100001100…
…101001011110100
3212222221122210200
4110201211023310
51201123104010
654100320500
711350622136
oct2441451364
9788848720
10344347380
11167414313
12973a3130
1356457360
1433a39056
152036dcc0
hex148652f4

344347380 has 288 divisors, whose sum is σ = 1197600768. Its totient is φ = 79488000.

The previous prime is 344347369. The next prime is 344347403. The reversal of 344347380 is 83743443.

It is a happy number.

It is a super-2 number, since 2×3443473802 = 237150236225728800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3409330 + ... + 3409430.

It is an arithmetic number, because the mean of its divisors is an integer number (4158336).

Almost surely, 2344347380 is an apocalyptic number.

344347380 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 344347380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598800384).

344347380 is an abundant number, since it is smaller than the sum of its proper divisors (853253388).

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

344347380 is a wasteful number, since it uses less digits than its factorization.

344347380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 344347380 is about 18556.5993651854. The cubic root of 344347380 is about 700.9153874634.

It can be divided in two parts, 34434 and 7380, that added together give a palindrome (41814).

The spelling of 344347380 in words is "three hundred forty-four million, three hundred forty-seven thousand, three hundred eighty".