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2134368 = 25327411
BaseRepresentation
bin1000001001000101100000
311000102210200
420021011200
51021244433
6113425200
724066435
oct10110540
94012720
102134368
111228645
1286b200
13599652
143d7b8c
152c2613
hex209160

2134368 has 36 divisors (see below), whose sum is σ = 6070428. Its totient is φ = 711360.

The previous prime is 2134357. The next prime is 2134373. The reversal of 2134368 is 8634312.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3418 + ... + 3993.

It is an arithmetic number, because the mean of its divisors is an integer number (168623).

22134368 is an apocalyptic number.

It is an amenable number.

2134368 is an abundant number, since it is smaller than the sum of its proper divisors (3936060).

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

2134368 is a wasteful number, since it uses less digits than its factorization.

2134368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7416 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2134368 is about 1460.9476376654. The cubic root of 2134368 is about 128.7527262438.

It can be divided in two parts, 213436 and 8, that added together give a square (213444 = 4622).

The spelling of 2134368 in words is "two million, one hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7411 14822 22233 29644 44466 59288 66699 88932 118576 133398 177864 237152 266796 355728 533592 711456 1067184 2134368