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3415572342 = 2327213378397
BaseRepresentation
bin1100101110010101…
…0111111101110110
322211001000001102100
43023211113331312
523443341303332
61322531322530
7150432612600
oct31345277566
98731001370
103415572342
1114a3002066
127b3a50446
13425818b30
142458a2170
1514ecd167c
hexcb957f76

3415572342 has 288 divisors, whose sum is σ = 9735459552. Its totient is φ = 856977408.

The previous prime is 3415572331. The next prime is 3415572367. The reversal of 3415572342 is 2432755143.

3415572342 is a `hidden beast` number, since 3 + 41 + 5 + 572 + 3 + 42 = 666.

It is a super-2 number, since 2×34155723422 = 23332268846870729928, which contains 22 as substring.

Its product of digits (100800) is a multiple of the sum of its prime factors (252).

It is a junction number, because it is equal to n+sod(n) for n = 3415572297 and 3415572306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35212038 + ... + 35212134.

It is an arithmetic number, because the mean of its divisors is an integer number (33803679).

Almost surely, 23415572342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415572342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867729776).

3415572342 is an abundant number, since it is smaller than the sum of its proper divisors (6319887210).

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

3415572342 is a wasteful number, since it uses less digits than its factorization.

3415572342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 3415572342 is about 58442.8981314240. The cubic root of 3415572342 is about 1505.9867910991.

The spelling of 3415572342 in words is "three billion, four hundred fifteen million, five hundred seventy-two thousand, three hundred forty-two".