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3481272 = 233371227
BaseRepresentation
bin1101010001111010111000
320112212102000
431101322320
51342400042
6202341000
741406324
oct15217270
96485360
103481272
111a68593
1211ba760
1394b732
14668984
1548b74c
hex351eb8

3481272 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 1139040.

The previous prime is 3481267. The next prime is 3481273. The reversal of 3481272 is 2721843.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15223 + ... + 15449.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 23481272 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 3481272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

3481272 is an abundant number, since it is smaller than the sum of its proper divisors (6368328).

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

3481272 is a wasteful number, since it uses less digits than its factorization.

3481272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 3481272 is about 1865.8167112554. The cubic root of 3481272 is about 151.5581582417.

The spelling of 3481272 in words is "three million, four hundred eighty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 227 284 426 454 568 639 681 852 908 1278 1362 1704 1816 1917 2043 2556 2724 3834 4086 5112 5448 6129 7668 8172 12258 15336 16117 16344 24516 32234 48351 49032 64468 96702 128936 145053 193404 290106 386808 435159 580212 870318 1160424 1740636 3481272