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344057220 = 223451317312
BaseRepresentation
bin10100100000011…
…110010110000100
3212222101220210000
4110200132112010
51201034312340
654050201300
711345303163
oct2440362604
9788356700
10344057220
11167236311
1297283230
1356385270
14339a13da
1520312d30
hex1481e584

344057220 has 360 divisors, whose sum is σ = 1271699352. Its totient is φ = 77137920.

The previous prime is 344057213. The next prime is 344057227. The reversal of 344057220 is 22750443.

344057220 is a `hidden beast` number, since 34 + 40 + 572 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (344057213) and next prime (344057227).

It can be written as a sum of positive squares in 4 ways, for example, as 25220484 + 318836736 = 5022^2 + 17856^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344057227) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 11098605 + ... + 11098635.

Almost surely, 2344057220 is an apocalyptic number.

344057220 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 344057220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635849676).

344057220 is an abundant number, since it is smaller than the sum of its proper divisors (927642132).

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

344057220 is a wasteful number, since it uses less digits than its factorization.

344057220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 344057220 is about 18548.7794746716. The cubic root of 344057220 is about 700.7184596206.

The spelling of 344057220 in words is "three hundred forty-four million, fifty-seven thousand, two hundred twenty".