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3429272 = 2371119293
BaseRepresentation
bin1101000101001110011000
320110020002002
431011032120
51334214042
6201300132
741101610
oct15051630
96406062
103429272
111a32510
121194648
13930b72
14653a40
1547b132
hex345398

3429272 has 64 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1261440.

The previous prime is 3429203. The next prime is 3429287. The reversal of 3429272 is 2729243.

It is a happy number.

Its product of digits (6048) is a multiple of the sum of its prime factors (336).

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, 11558 + ... + 11850.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 23429272 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 3429272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3429272 is an abundant number, since it is smaller than the sum of its proper divisors (5037928).

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

3429272 is a wasteful number, since it uses less digits than its factorization.

3429272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 3429272 is about 1851.8293657894. The cubic root of 3429272 is about 150.7997579660.

Subtracting from 3429272 its sum of digits (29), we obtain a palindrome (3429243).

The spelling of 3429272 in words is "three million, four hundred twenty-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 293 308 418 532 586 616 836 1064 1172 1463 1672 2051 2344 2926 3223 4102 5567 5852 6446 8204 11134 11704 12892 16408 22268 22561 25784 38969 44536 45122 61237 77938 90244 122474 155876 180488 244948 311752 428659 489896 857318 1714636 3429272