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3198162240 = 2632571312203
BaseRepresentation
bin1011111010100000…
…0001010101000000
322020212220110211100
42332220001111000
523022212142430
61245203414400
7142152634110
oct27650012500
98225813740
103198162240
1113a1308699
12753084400
133bc7771c0
14224a6b040
1513ab88960
hexbea01540

3198162240 has 336 divisors, whose sum is σ = 13539996288. Its totient is φ = 674721792.

The previous prime is 3198162203. The next prime is 3198162271. The reversal of 3198162240 is 422618913.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3198162195 and 3198162204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255979 + ... + 268181.

It is an arithmetic number, because the mean of its divisors is an integer number (40297608).

Almost surely, 23198162240 is an apocalyptic number.

3198162240 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 3198162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769998144).

3198162240 is an abundant number, since it is smaller than the sum of its proper divisors (10341834048).

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

3198162240 is a wasteful number, since it uses less digits than its factorization.

3198162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246 (or 12233 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3198162240 is about 56552.2965050934. The cubic root of 3198162240 is about 1473.3304468639.

The spelling of 3198162240 in words is "three billion, one hundred ninety-eight million, one hundred sixty-two thousand, two hundred forty".