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3342855132 = 2232374161211
BaseRepresentation
bin1100011100111111…
…1110101111011100
322121222011122011100
43013033332233130
523321232331012
61311412553100
7145560541221
oct30717765734
98558148140
103342855132
111465a555a1
12793622790
134137385b6
14239d73948
1514871a8dc
hexc73febdc

3342855132 has 72 divisors (see below), whose sum is σ = 8890186032. Its totient is φ = 1057708800.

The previous prime is 3342855107. The next prime is 3342855137. The reversal of 3342855132 is 2315582433.

3342855132 is a `hidden beast` number, since 33 + 42 + 8 + 551 + 32 = 666.

It is a super-2 number, since 2×33428551322 = 22349360867077474848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342855137) 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, 24007 + ... + 85217.

It is an arithmetic number, because the mean of its divisors is an integer number (123474806).

Almost surely, 23342855132 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 3342855132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445093016).

3342855132 is an abundant number, since it is smaller than the sum of its proper divisors (5547330900).

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

3342855132 is a wasteful number, since it uses less digits than its factorization.

3342855132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61299 (or 61294 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3342855132 is about 57817.4293098543. The cubic root of 3342855132 is about 1495.2225977723. Note that the first 3 decimals are identical.

The spelling of 3342855132 in words is "three billion, three hundred forty-two million, eight hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 3034 4551 6068 9102 13653 18204 27306 54612 61211 122422 183633 244844 367266 550899 734532 1101798 2203596 2264807 2509651 4529614 5019302 6794421 7528953 9059228 10038604 13588842 15057906 20383263 22586859 27177684 30115812 40766526 45173718 81533052 90347436 92857087 185714174 278571261 371428348 557142522 835713783 1114285044 1671427566 3342855132