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3342672 = 2432139167
BaseRepresentation
bin1100110000000101010000
320021211021200
430300011100
51323431142
6155351200
740261254
oct14600520
96254250
103342672
111983443
121152500
13900618
14630264
1546064c
hex330150

3342672 has 60 divisors (see below), whose sum is σ = 9478560. Its totient is φ = 1099584.

The previous prime is 3342671. The next prime is 3342673. The reversal of 3342672 is 2762433.

It is an interprime number because it is at equal distance from previous prime (3342671) and next prime (3342673).

It is a super-2 number, since 2×33426722 = 22346912199168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19933 + ... + 20099.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 23342672 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 3342672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739280).

3342672 is an abundant number, since it is smaller than the sum of its proper divisors (6135888).

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

3342672 is a wasteful number, since it uses less digits than its factorization.

3342672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3342672 is about 1828.2975687781. The cubic root of 3342672 is about 149.5195292959.

The spelling of 3342672 in words is "three million, three hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 167 278 334 417 501 556 668 834 1002 1112 1251 1336 1503 1668 2004 2224 2502 2672 3006 3336 4008 5004 6012 6672 8016 10008 12024 20016 23213 24048 46426 69639 92852 139278 185704 208917 278556 371408 417834 557112 835668 1114224 1671336 3342672