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334201032 = 233311219673
BaseRepresentation
bin10011111010111…
…000000011001000
3212021212011122000
4103322320003020
51141023413112
653055031000
711165443014
oct2372700310
9767764560
10334201032
11161714200
1293b0b460
1354313cb9
1432557544
151e5177dc
hex13eb80c8

334201032 has 192 divisors, whose sum is σ = 1075704000. Its totient is φ = 95800320.

The previous prime is 334200967. The next prime is 334201061. The reversal of 334201032 is 230102433.

It is a super-2 number, since 2×3342010322 = 223380659579730048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 334200996 and 334201014.

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 47 ways as a sum of consecutive naturals, for example, 496248 + ... + 496920.

It is an arithmetic number, because the mean of its divisors is an integer number (5602625).

Almost surely, 2334201032 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 334201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537852000).

334201032 is an abundant number, since it is smaller than the sum of its proper divisors (741502968).

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

334201032 is a wasteful number, since it uses less digits than its factorization.

334201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 334201032 is about 18281.1660459611. The cubic root of 334201032 is about 693.9623817252.

Adding to 334201032 its reverse (230102433), we get a palindrome (564303465).

The spelling of 334201032 in words is "three hundred thirty-four million, two hundred one thousand, thirty-two".