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340956216 = 23361719181
BaseRepresentation
bin10100010100101…
…001010000111000
3212202120101000000
4110110221100320
51144241044331
653455513000
711310036306
oct2424512070
9782511000
10340956216
111655084a7
1296228760
135583a953
14333d5276
151edee0e6
hex14529438

340956216 has 224 divisors, whose sum is σ = 1074200400. Its totient is φ = 100776960.

The previous prime is 340956193. The next prime is 340956223. The reversal of 340956216 is 612659043.

It is a happy number.

It is a super-2 number, since 2×3409562162 = 232502282458077312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 1883646 + ... + 1883826.

Almost surely, 2340956216 is an apocalyptic number.

340956216 is a gapful number since it is divisible by the number (36) 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 340956216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537100200).

340956216 is an abundant number, since it is smaller than the sum of its proper divisors (733244184).

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

340956216 is a wasteful number, since it uses less digits than its factorization.

340956216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 340956216 is about 18464.9997562957. Note that the first 3 decimals coincide. The cubic root of 340956216 is about 698.6069001200.

The spelling of 340956216 in words is "three hundred forty million, nine hundred fifty-six thousand, two hundred sixteen".