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5357340 = 223453307
BaseRepresentation
bin10100011011111100011100
3101002011220000
4110123330130
52332413330
6310454300
763352032
oct24337434
911064800
105357340
11302a05a
121964390
131157631
149d6552
1570c560
hex51bf1c

5357340 has 60 divisors (see below), whose sum is σ = 16811256. Its totient is φ = 1428192.

The previous prime is 5357309. The next prime is 5357351. The reversal of 5357340 is 437535.

It is a happy number.

5357340 is a `hidden beast` number, since 53 + 573 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34 + ... + 3273.

Almost surely, 25357340 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 5357340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405628).

5357340 is an abundant number, since it is smaller than the sum of its proper divisors (11453916).

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

5357340 is a wasteful number, since it uses less digits than its factorization.

5357340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 5357340 is about 2314.5928367642. The cubic root of 5357340 is about 174.9778475361.

It can be divided in two parts, 535 and 7340, that added together give a triangular number (7875 = T125).

The spelling of 5357340 in words is "five million, three hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3307 6614 9921 13228 16535 19842 29763 33070 39684 49605 59526 66140 89289 99210 119052 148815 178578 198420 267867 297630 357156 446445 535734 595260 892890 1071468 1339335 1785780 2678670 5357340