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3007134 = 2321371181
BaseRepresentation
bin1011011110001010011110
312122210000100
423132022132
51232212014
6144241530
734363104
oct13361236
95583010
103007134
111774339
1210102a6
13813990
14583c74
153e6009
hex2de29e

3007134 has 48 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 907200.

The previous prime is 3007129. The next prime is 3007139. The reversal of 3007134 is 4317003.

It is an interprime number because it is at equal distance from previous prime (3007129) and next prime (3007139).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007139) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16524 + ... + 16704.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

Almost surely, 23007134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

3007134 is an abundant number, since it is smaller than the sum of its proper divisors (4147650).

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

3007134 is a wasteful number, since it uses less digits than its factorization.

3007134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3007134 is about 1734.1089931143. The cubic root of 3007134 is about 144.3391888467.

The spelling of 3007134 in words is "three million, seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 181 213 234 362 426 543 639 923 1086 1278 1629 1846 2353 2769 3258 4706 5538 7059 8307 12851 14118 16614 21177 25702 38553 42354 77106 115659 167063 231318 334126 501189 1002378 1503567 3007134