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3445970850 = 235527311307
BaseRepresentation
bin1100110101100101…
…0101011110100010
322220011012110100000
43031121111132202
524024132031400
61325535040430
7151252161150
oct31531253642
98804173300
103445970850
1115091849a3
12802070116
1342bc0030a
142499363d0
151527d8600
hexcd6557a2

3445970850 has 288 divisors, whose sum is σ = 11335274496. Its totient is φ = 761659200.

The previous prime is 3445970753. The next prime is 3445970887. The reversal of 3445970850 is 580795443.

3445970850 is a `hidden beast` number, since 3 + 4 + 4 + 597 + 0 + 8 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3445970796 and 3445970805.

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 143 ways as a sum of consecutive naturals, for example, 2635897 + ... + 2637203.

It is an arithmetic number, because the mean of its divisors is an integer number (39358592).

Almost surely, 23445970850 is an apocalyptic number.

3445970850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445970850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667637248).

3445970850 is an abundant number, since it is smaller than the sum of its proper divisors (7889303646).

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

3445970850 is a wasteful number, since it uses less digits than its factorization.

3445970850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3445970850 is about 58702.3921999777. The cubic root of 3445970850 is about 1510.4413501623.

The spelling of 3445970850 in words is "three billion, four hundred forty-five million, nine hundred seventy thousand, eight hundred fifty".