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3366272 = 27713172
BaseRepresentation
bin1100110101110110000000
320100000122202
430311312000
51330210042
6200052332
740420130
oct14656600
96300582
103366272
11199a148
1211640a8
1390b2a0
14638ac0
15467632
hex335d80

3366272 has 96 divisors (see below), whose sum is σ = 8767920. Its totient is φ = 1253376.

The previous prime is 3366271. The next prime is 3366283. The reversal of 3366272 is 2726633.

It is a super-2 number, since 2×33662722 = 22663574355968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198008 + ... + 198024.

Almost surely, 23366272 is an apocalyptic number.

3366272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383960).

3366272 is an abundant number, since it is smaller than the sum of its proper divisors (5401648).

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

3366272 is a wasteful number, since it uses less digits than its factorization.

3366272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its digits is 9072, while the sum is 29.

The square root of 3366272 is about 1834.7403085996. The cubic root of 3366272 is about 149.8705846729.

The spelling of 3366272 in words is "three million, three hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 272 289 364 416 442 448 476 544 578 728 832 884 896 952 1088 1156 1456 1547 1664 1768 1904 2023 2176 2312 2912 3094 3536 3757 3808 4046 4624 5824 6188 7072 7514 7616 8092 9248 11648 12376 14144 15028 15232 16184 18496 24752 26299 28288 30056 32368 36992 49504 52598 60112 64736 99008 105196 120224 129472 198016 210392 240448 258944 420784 480896 841568 1683136 3366272