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344949696 = 26327136581
BaseRepresentation
bin10100100011111…
…000001111000000
3220001002021000200
4110203320033000
51201301342241
654121245200
711356011150
oct2443701700
9801067020
10344949696
111677958a3
1297633800
1356608560
1433b54760
152043c4b6
hex148f83c0

344949696 has 168 divisors, whose sum is σ = 1217090784. Its totient is φ = 90961920.

The previous prime is 344949691. The next prime is 344949713. The reversal of 344949696 is 696949443.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344949691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49126 + ... + 55706.

It is an arithmetic number, because the mean of its divisors is an integer number (7244588).

Almost surely, 2344949696 is an apocalyptic number.

344949696 is a gapful number since it is divisible by the number (36) 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 344949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608545392).

344949696 is an abundant number, since it is smaller than the sum of its proper divisors (872141088).

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

344949696 is a wasteful number, since it uses less digits than its factorization.

344949696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6606 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 344949696 is about 18572.8214334818. The cubic root of 344949696 is about 701.3238186658.

The spelling of 344949696 in words is "three hundred forty-four million, nine hundred forty-nine thousand, six hundred ninety-six".