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340889472 = 2734721161
BaseRepresentation
bin10100010100011…
…000111110000000
3212202102222110000
4110110120332000
51144231430342
653454240000
711306340600
oct2424307600
9782388400
10340889472
11165472340
12961b6000
1355816461
14333b8c00
151edd944c
hex14518f80

340889472 has 480 divisors, whose sum is σ = 1308498840. Its totient is φ = 87091200.

The previous prime is 340889453. The next prime is 340889489. The reversal of 340889472 is 274988043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5588322 + ... + 5588382.

Almost surely, 2340889472 is an apocalyptic number.

340889472 is a gapful number since it is divisible by the number (32) 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 340889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654249420).

340889472 is an abundant number, since it is smaller than the sum of its proper divisors (967609368).

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

340889472 is a wasteful number, since it uses less digits than its factorization.

340889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 340889472 is about 18463.1923566863. The cubic root of 340889472 is about 698.5613118014.

The spelling of 340889472 in words is "three hundred forty million, eight hundred eighty-nine thousand, four hundred seventy-two".