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3401631552 = 2631123239293
BaseRepresentation
bin1100101011000000…
…1100011101000000
322210001202210020210
43022300030131000
523431304202202
61321312434120
7150203251104
oct31260143500
98701683223
103401631552
111496150150
127ab248940
13422977647
14243ab3904
1514d97ac6c
hexcac0c740

3401631552 has 224 divisors, whose sum is σ = 10323210240. Its totient is φ = 978503680.

The previous prime is 3401631539. The next prime is 3401631553. The reversal of 3401631552 is 2551361043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401631553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11609518 + ... + 11609810.

It is an arithmetic number, because the mean of its divisors is an integer number (46085760).

Almost surely, 23401631552 is an apocalyptic number.

3401631552 is a gapful number since it is divisible by the number (32) 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 3401631552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161605120).

3401631552 is an abundant number, since it is smaller than the sum of its proper divisors (6921578688).

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

3401631552 is a wasteful number, since it uses less digits than its factorization.

3401631552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3401631552 is about 58323.5077134426. The cubic root of 3401631552 is about 1503.9350828325.

Adding to 3401631552 its reverse (2551361043), we get a palindrome (5952992595).

The spelling of 3401631552 in words is "three billion, four hundred one million, six hundred thirty-one thousand, five hundred fifty-two".