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3468024 = 233272983
BaseRepresentation
bin1101001110101011111000
320112012020100
431032223320
51341434044
6202155400
741322600
oct15165370
96465210
103468024
111a5963a
1211b2b60
139456b1
14663c00
15487869
hex34eaf8

3468024 has 72 divisors (see below), whose sum is σ = 10937160. Its totient is φ = 989856.

The previous prime is 3468019. The next prime is 3468029. The reversal of 3468024 is 4208643.

It is an interprime number because it is at equal distance from previous prime (3468019) and next prime (3468029).

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3037 + ... + 4019.

It is an arithmetic number, because the mean of its divisors is an integer number (151905).

Almost surely, 23468024 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 3468024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468580).

3468024 is an abundant number, since it is smaller than the sum of its proper divisors (7469136).

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

3468024 is a wasteful number, since it uses less digits than its factorization.

3468024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3468024 is about 1862.2631393012. The cubic root of 3468024 is about 151.3656620477.

The spelling of 3468024 in words is "three million, four hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 983 1176 1764 1966 2949 3528 3932 5898 6881 7864 8847 11796 13762 17694 20643 23592 27524 35388 41286 48167 55048 61929 70776 82572 96334 123858 144501 165144 192668 247716 289002 385336 433503 495432 578004 867006 1156008 1734012 3468024