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3412714032 = 2434713191523
BaseRepresentation
bin1100101101101001…
…1110001000110000
322210211121211120000
43023122132020300
523442123322112
61322350150000
7150366406410
oct31332361060
98724554500
103412714032
1114a142a622
127b2ab2300
13425057b20
1424535a640
1514e9197dc
hexcb69e230

3412714032 has 400 divisors, whose sum is σ = 12805013760. Its totient is φ = 852125184.

The previous prime is 3412714031. The next prime is 3412714057. The reversal of 3412714032 is 2304172143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3412713987 and 3412714005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412714031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2240023 + ... + 2241545.

Almost surely, 23412714032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412714032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402506880).

3412714032 is an abundant number, since it is smaller than the sum of its proper divisors (9392299728).

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

3412714032 is a wasteful number, since it uses less digits than its factorization.

3412714032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3412714032 is about 58418.4391438183. The cubic root of 3412714032 is about 1505.5665805664.

Adding to 3412714032 its reverse (2304172143), we get a palindrome (5716886175).

The spelling of 3412714032 in words is "three billion, four hundred twelve million, seven hundred fourteen thousand, thirty-two".