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3218973696 = 210341972
BaseRepresentation
bin1011111111011101…
…1010010000000000
322022100001210210000
42333313122100000
523043024124241
61251225440000
7142524552651
oct27767322000
98270053700
103218973696
111402032644
1275a040000
133c3b82a83
14227727528
1513c8e9eb6
hexbfdda400

3218973696 has 165 divisors, whose sum is σ = 9661526809. Its totient is φ = 1067544576.

The previous prime is 3218973683. The next prime is 3218973707. The reversal of 3218973696 is 6963798123.

The square root of 3218973696 is 56736.

It is a perfect power (a square), and thus also a powerful number.

3218973696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3153945600 + 65028096 = 56160^2 + 8064^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16339870 + ... + 16340066.

Almost surely, 23218973696 is an apocalyptic number.

3218973696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3218973696 is the 56736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3218973696

3218973696 is an abundant number, since it is smaller than the sum of its proper divisors (6442553113).

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

3218973696 is an frugal number, since it uses more digits than its factorization.

3218973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 202 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The cubic root of 3218973696 is about 1476.5193492636.

The spelling of 3218973696 in words is "three billion, two hundred eighteen million, nine hundred seventy-three thousand, six hundred ninety-six".