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1335348 = 223272757
BaseRepresentation
bin101000110000000110100
32111211202100
411012000310
5320212343
644342100
714231100
oct5060064
92454670
101335348
118322a3
12544930
13379a61
1426a900
151b59d3
hex146034

1335348 has 54 divisors (see below), whose sum is σ = 3931746. Its totient is φ = 381024.

The previous prime is 1335343. The next prime is 1335349. The reversal of 1335348 is 8435331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 142884 = 1092^2 + 378^2 .

It is a super-2 number, since 2×13353482 = 3566308562208, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335343) 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 17 ways as a sum of consecutive naturals, for example, 1386 + ... + 2142.

21335348 is an apocalyptic number.

1335348 is a gapful number since it is divisible by the number (18) 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 1335348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965873).

1335348 is an abundant number, since it is smaller than the sum of its proper divisors (2596398).

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

1335348 is a wasteful number, since it uses less digits than its factorization.

1335348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1335348 is about 1155.5725853446. The cubic root of 1335348 is about 110.1196494218.

The spelling of 1335348 in words is "one million, three hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 757 882 1514 1764 2271 3028 4542 5299 6813 9084 10598 13626 15897 21196 27252 31794 37093 47691 63588 74186 95382 111279 148372 190764 222558 333837 445116 667674 1335348