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344878380 = 22325711149167
BaseRepresentation
bin10100100011100…
…110110100101100
3220000221122012100
4110203212310230
51201242102010
654115535100
711355263220
oct2443466454
9800848170
10344878380
11167747260
12975ba490
13565b1c62
1433b36780
15204262c0
hex148e6d2c

344878380 has 288 divisors, whose sum is σ = 1320883200. Its totient is φ = 70755840.

The previous prime is 344878333. The next prime is 344878381. The reversal of 344878380 is 83878443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (344878381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2065057 + ... + 2065223.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2344878380 is an apocalyptic number.

344878380 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 344878380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

344878380 is an abundant number, since it is smaller than the sum of its proper divisors (976004820).

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

344878380 is a wasteful number, since it uses less digits than its factorization.

344878380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 344878380 is about 18570.9014320792. The cubic root of 344878380 is about 701.2754840272.

The spelling of 344878380 in words is "three hundred forty-four million, eight hundred seventy-eight thousand, three hundred eighty".