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3394966050 = 2325274197271
BaseRepresentation
bin1100101001011011…
…0001001000100010
322202121020010220100
43022112301020202
523423102403200
61320513523230
7150062510130
oct31226611042
98677203810
103394966050
111492408273
127a8b73516
13421482768
14242c5a750
1514d0b0d00
hexca5b1222

3394966050 has 288 divisors, whose sum is σ = 10828306944. Its totient is φ = 746496000.

The previous prime is 3394966031. The next prime is 3394966061. The reversal of 3394966050 is 506694933.

It is a happy number.

3394966050 is a `hidden beast` number, since 3 + 39 + 4 + 9 + 6 + 605 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3394965987 and 3394966005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12527415 + ... + 12527685.

It is an arithmetic number, because the mean of its divisors is an integer number (37598288).

Almost surely, 23394966050 is an apocalyptic number.

3394966050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394966050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414153472).

3394966050 is an abundant number, since it is smaller than the sum of its proper divisors (7433340894).

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

3394966050 is a wasteful number, since it uses less digits than its factorization.

3394966050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3394966050 is about 58266.3371939579. The cubic root of 3394966050 is about 1502.9521195154.

It can be divided in two parts, 33949 and 66050, that added together give a palindrome (99999).

The spelling of 3394966050 in words is "three billion, three hundred ninety-four million, nine hundred sixty-six thousand, fifty".