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3499272 = 2332753131
BaseRepresentation
bin1101010110010100001000
320120210002200
431112110020
51343434042
6203000200
741512650
oct15262410
96523080
103499272
111a80067
121209060
1395699a
14671360
15491c4c
hex356508

3499272 has 96 divisors (see below), whose sum is σ = 11119680. Its totient is φ = 973440.

The previous prime is 3499267. The next prime is 3499277. The reversal of 3499272 is 2729943.

It is an interprime number because it is at equal distance from previous prime (3499267) and next prime (3499277).

It is a super-3 number, since 3×34992723 (a number of 21 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3499277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26647 + ... + 26777.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

Almost surely, 23499272 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 3499272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559840).

3499272 is an abundant number, since it is smaller than the sum of its proper divisors (7620408).

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

3499272 is a wasteful number, since it uses less digits than its factorization.

3499272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3499272 is about 1870.6341170844. The cubic root of 3499272 is about 151.8189210221.

The spelling of 3499272 in words is "three million, four hundred ninety-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 131 159 168 212 252 262 318 371 393 424 477 504 524 636 742 786 917 954 1048 1113 1179 1272 1484 1572 1834 1908 2226 2358 2751 2968 3144 3339 3668 3816 4452 4716 5502 6678 6943 7336 8253 8904 9432 11004 13356 13886 16506 20829 22008 26712 27772 33012 41658 48601 55544 62487 66024 83316 97202 124974 145803 166632 194404 249948 291606 388808 437409 499896 583212 874818 1166424 1749636 3499272