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3455316 = 2232412341
BaseRepresentation
bin1101001011100101010100
320111112210200
431023211110
51341032231
6202020500
741240544
oct15134524
96445720
103455316
111a50037
1211a7730
1393c987
1465d324
15483be6
hex34b954

3455316 has 36 divisors (see below), whose sum is σ = 8951124. Its totient is φ = 1123200.

The previous prime is 3455303. The next prime is 3455317. The reversal of 3455316 is 6135543.

3455316 is a `hidden beast` number, since 345 + 5 + 316 = 666.

3455316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 2414916 = 1020^2 + 1554^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3455316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306 + ... + 2646.

Almost surely, 23455316 is an apocalyptic number.

3455316 is a gapful number since it is divisible by the number (36) 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 3455316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475562).

3455316 is an abundant number, since it is smaller than the sum of its proper divisors (5495808).

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

3455316 is a wasteful number, since it uses less digits than its factorization.

3455316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2387 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 3455316 is about 1858.8480303672. The cubic root of 3455316 is about 151.1805509543.

The spelling of 3455316 in words is "three million, four hundred fifty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2341 4682 7023 9364 14046 21069 28092 42138 84276 95981 191962 287943 383924 575886 863829 1151772 1727658 3455316