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3452461056 = 2133411243
BaseRepresentation
bin1100110111001000…
…0110000000000000
322220121102012020000
43031302012000000
524032312223211
61330330120000
7151361302062
oct31562060000
98817365200
103452461056
111511908100
12804280000
13430363485
1424a745732
1515316b656
hexcdc86000

3452461056 has 420 divisors, whose sum is σ = 11600671236. Its totient is φ = 1021870080.

The previous prime is 3452461043. The next prime is 3452461057. The reversal of 3452461056 is 6501642543.

3452461056 is a `hidden beast` number, since 34 + 5 + 2 + 4 + 610 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3452461056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452461057) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 80289771 + ... + 80289813.

Almost surely, 23452461056 is an apocalyptic number.

3452461056 is a gapful number since it is divisible by the number (36) 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 3452461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800335618).

3452461056 is an abundant number, since it is smaller than the sum of its proper divisors (8148210180).

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

3452461056 is an equidigital number, since it uses as much as digits as its factorization.

3452461056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3452461056 is about 58757.6467874608. The cubic root of 3452461056 is about 1511.3890199618.

The spelling of 3452461056 in words is "three billion, four hundred fifty-two million, four hundred sixty-one thousand, fifty-six".