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3412426752 = 2153371929
BaseRepresentation
bin1100101101100101…
…1000000000000000
322210211002020111000
43023121120000000
523442040124002
61322340052000
7150364102020
oct31331300000
98724066430
103412426752
1114a12537a9
127b2994000
13424c87137
142452c3a80
1514e8ae61c
hexcb658000

3412426752 has 512 divisors, whose sum is σ = 12582720000. Its totient is φ = 891813888.

The previous prime is 3412426751. The next prime is 3412426777. The reversal of 3412426752 is 2576242143.

3412426752 is a `hidden beast` number, since 341 + 2 + 4 + 267 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

Its product of digits (80640) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412426751) 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, 117669874 + ... + 117669902.

It is an arithmetic number, because the mean of its divisors is an integer number (24575625).

Almost surely, 23412426752 is an apocalyptic number.

3412426752 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 3412426752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291360000).

3412426752 is an abundant number, since it is smaller than the sum of its proper divisors (9170293248).

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

3412426752 is an equidigital number, since it uses as much as digits as its factorization.

3412426752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 3412426752 is about 58415.9802793722. The cubic root of 3412426752 is about 1505.5243335161.

Adding to 3412426752 its reverse (2576242143), we get a palindrome (5988668895).

The spelling of 3412426752 in words is "three billion, four hundred twelve million, four hundred twenty-six thousand, seven hundred fifty-two".