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3245383680 = 213357411
BaseRepresentation
bin1100000101110000…
…1010000000000000
322101011202120110120
43001130022000000
523121304234210
61254011500240
7143265210000
oct30134120000
98334676416
103245383680
111415a30880
12766a57680
133c949b996
1422b040000
1513edb5270
hexc170a000

3245383680 has 560 divisors, whose sum is σ = 13215969504. Its totient is φ = 674365440.

The previous prime is 3245383663. The next prime is 3245383681. The reversal of 3245383680 is 863835423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245383681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 295034875 + ... + 295034885.

Almost surely, 23245383680 is an apocalyptic number.

3245383680 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 3245383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607984752).

3245383680 is an abundant number, since it is smaller than the sum of its proper divisors (9970585824).

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

3245383680 is an frugal number, since it uses more digits than its factorization.

3245383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3245383680 is about 56968.2690626984. The cubic root of 3245383680 is about 1480.5463772784.

The spelling of 3245383680 in words is "three billion, two hundred forty-five million, three hundred eighty-three thousand, six hundred eighty".