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2134264 = 231179307
BaseRepresentation
bin1000001001000011111000
311000102122211
420021003320
51021244024
6113424504
724066226
oct10110370
94012584
102134264
111228560
1286b134
135995a2
143d7b16
152c2594
hex2090f8

2134264 has 32 divisors (see below), whose sum is σ = 4435200. Its totient is φ = 954720.

The previous prime is 2134261. The next prime is 2134267. The reversal of 2134264 is 4624312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2134261) and next prime (2134267).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 215 + 1 + 33 + 4 + 221 + 63 + 46 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6799 + ... + 7105.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

22134264 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 2134264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217600).

2134264 is an abundant number, since it is smaller than the sum of its proper divisors (2300936).

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

2134264 is a wasteful number, since it uses less digits than its factorization.

2134264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 2134264 is about 1460.9120438959. The cubic root of 2134264 is about 128.7506349923.

Adding to 2134264 its reverse (4624312), we get a palindrome (6758576).

The spelling of 2134264 in words is "two million, one hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 79 88 158 307 316 614 632 869 1228 1738 2456 3377 3476 6754 6952 13508 24253 27016 48506 97012 194024 266783 533566 1067132 2134264