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354049344 = 2632111719173
BaseRepresentation
bin10101000110100…
…101110101000000
3220200012120101200
4111012211311000
51211114034334
655044301200
711526240555
oct2506456500
9820176350
10354049344
11171940570
129a6a1800
135847336c
1435042a2c
1521138799
hex151a5d40

354049344 has 336 divisors, whose sum is σ = 1241023680. Its totient is φ = 95109120.

The previous prime is 354049301. The next prime is 354049351. The reversal of 354049344 is 443940453.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 354049299 and 354049308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2046442 + ... + 2046614.

Almost surely, 2354049344 is an apocalyptic number.

354049344 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 354049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620511840).

354049344 is an abundant number, since it is smaller than the sum of its proper divisors (886974336).

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

354049344 is a wasteful number, since it uses less digits than its factorization.

354049344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 354049344 is about 18816.1989785397. The cubic root of 354049344 is about 707.4372623097.

Adding to 354049344 its reverse (443940453), we get a palindrome (797989797).

The spelling of 354049344 in words is "three hundred fifty-four million, forty-nine thousand, three hundred forty-four".