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3332472 = 2331113971
BaseRepresentation
bin1100101101100101111000
320021022021220
430231211320
51323114342
6155232040
740216443
oct14554570
96238256
103332472
111976810
121148620
138c8aa0
1462a65a
1545c5ec
hex32d978

3332472 has 64 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 931200.

The previous prime is 3332471. The next prime is 3332489. The reversal of 3332472 is 2742333.

It is a happy number.

It is a super-2 number, since 2×33324722 = 22210739261568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 38 + 313 + 313 + 211 + 46 + 72 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332471) 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, 2947 + ... + 3917.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 23332472 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 3332472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3332472 is an abundant number, since it is smaller than the sum of its proper divisors (6465288).

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

3332472 is a wasteful number, since it uses less digits than its factorization.

3332472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its digits is 3024, while the sum is 24.

The square root of 3332472 is about 1825.5059572623. The cubic root of 3332472 is about 149.3672904992.

The spelling of 3332472 in words is "three million, three hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 971 1144 1716 1942 2913 3432 3884 5826 7768 10681 11652 12623 21362 23304 25246 32043 37869 42724 50492 64086 75738 85448 100984 128172 138853 151476 256344 277706 302952 416559 555412 833118 1110824 1666236 3332472