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3212134380 = 22385713269
BaseRepresentation
bin1011111101110101…
…0100011111101100
322021212012100000000
42333131110133230
523034301300010
61250423104300
7142412456160
oct27735243754
98255170000
103212134380
1113a9191114
127578a2090
133c2629a40
14226866ca0
1513bee87c0
hexbf7547ec

3212134380 has 432 divisors, whose sum is σ = 12498857280. Its totient is φ = 675205632.

The previous prime is 3212134369. The next prime is 3212134397. The reversal of 3212134380 is 834312123.

3212134380 is a `hidden beast` number, since 3 + 212 + 13 + 438 + 0 = 666.

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

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, 11940886 + ... + 11941154.

It is an arithmetic number, because the mean of its divisors is an integer number (28932540).

Almost surely, 23212134380 is an apocalyptic number.

3212134380 is a gapful number since it is divisible by the number (30) 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 3212134380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249428640).

3212134380 is an abundant number, since it is smaller than the sum of its proper divisors (9286722900).

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

3212134380 is a wasteful number, since it uses less digits than its factorization.

3212134380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3212134380 is about 56675.6947906243. The cubic root of 3212134380 is about 1475.4728932820.

The spelling of 3212134380 in words is "three billion, two hundred twelve million, one hundred thirty-four thousand, three hundred eighty".