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3444699960 = 23375132233
BaseRepresentation
bin1100110101010001…
…1111001100111000
322220001210220000000
43031110133030320
524023320344320
61325451513000
7151235316012
oct31524371470
98801726000
103444699960
111508497079
12801758760
1342b876a00
142496c51b2
15152636c90
hexcd51f338

3444699960 has 384 divisors, whose sum is σ = 12641054400. Its totient is φ = 844286976.

The previous prime is 3444699941. The next prime is 3444699977. The reversal of 3444699960 is 699964443.

3444699960 is a `hidden beast` number, since 34 + 4 + 469 + 99 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3444699897 and 3444699906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14784004 + ... + 14784236.

Almost surely, 23444699960 is an apocalyptic number.

3444699960 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 3444699960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320527200).

3444699960 is an abundant number, since it is smaller than the sum of its proper divisors (9196354440).

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

3444699960 is a wasteful number, since it uses less digits than its factorization.

3444699960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 256 counting only the distinct ones).

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

The square root of 3444699960 is about 58691.5663447484. The cubic root of 3444699960 is about 1510.2556414099.

The spelling of 3444699960 in words is "three billion, four hundred forty-four million, six hundred ninety-nine thousand, nine hundred sixty".