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3968774300 = 2252379104717
BaseRepresentation
bin1110110010001110…
…1011000010011100
3101020120221121211202
43230203223002130
531112001234200
61453452335032
7200231011361
oct35443530234
911216847752
103968774300
1117572a6967
12929174478
134b330a87a
14299146468
151836581d5
hexec8eb09c

3968774300 has 36 divisors (see below), whose sum is σ = 8635046280. Its totient is φ = 1583305920.

The previous prime is 3968774273. The next prime is 3968774347. The reversal of 3968774300 is 34778693.

It is a happy number.

3968774300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14459 + ... + 90258.

Almost surely, 23968774300 is an apocalyptic number.

It is an amenable number.

3968774300 is an abundant number, since it is smaller than the sum of its proper divisors (4666271980).

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

3968774300 is a wasteful number, since it uses less digits than its factorization.

3968774300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105110 (or 105103 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The square root of 3968774300 is about 62998.2087046925. The cubic root of 3968774300 is about 1583.2596141731.

The spelling of 3968774300 in words is "three billion, nine hundred sixty-eight million, seven hundred seventy-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 379 758 1516 1895 3790 7580 9475 18950 37900 104717 209434 418868 523585 1047170 2094340 2617925 5235850 10471700 39687743 79375486 158750972 198438715 396877430 793754860 992193575 1984387150 3968774300