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270442464 = 25323532311
BaseRepresentation
bin10000000111101…
…001111111100000
3200211212220022120
4100013221333200
51023213124324
642500304240
76462502665
oct2007517740
9624786276
10270442464
11129726476
12766a2080
134404c336
1427cbba6c
1518b21179
hex101e9fe0

270442464 has 96 divisors (see below), whose sum is σ = 755080704. Its totient is φ = 84564480.

The previous prime is 270442457. The next prime is 270442493. The reversal of 270442464 is 464244072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115869 + ... + 118179.

It is an arithmetic number, because the mean of its divisors is an integer number (7865424).

Almost surely, 2270442464 is an apocalyptic number.

270442464 is a gapful number since it is divisible by the number (24) 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 270442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377540352).

270442464 is an abundant number, since it is smaller than the sum of its proper divisors (484638240).

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

270442464 is a wasteful number, since it uses less digits than its factorization.

270442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 270442464 is about 16445.1349644811. The cubic root of 270442464 is about 646.6832735075.

The spelling of 270442464 in words is "two hundred seventy million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 184 212 276 318 368 424 552 636 736 848 1104 1219 1272 1696 2208 2311 2438 2544 3657 4622 4876 5088 6933 7314 9244 9752 13866 14628 18488 19504 27732 29256 36976 39008 53153 55464 58512 73952 106306 110928 117024 122483 159459 212612 221856 244966 318918 367449 425224 489932 637836 734898 850448 979864 1275672 1469796 1700896 1959728 2551344 2817109 2939592 3919456 5102688 5634218 5879184 8451327 11268436 11758368 16902654 22536872 33805308 45073744 67610616 90147488 135221232 270442464