Search a number
-
+
1042734 = 237113761
BaseRepresentation
bin11111110100100101110
31221222100210
43332210232
5231331414
634203250
711602020
oct3764456
91858323
101042734
11652470
12423526
132a6804
141d2010
15158e59
hexfe92e

1042734 has 64 divisors (see below), whose sum is σ = 2714112. Its totient is φ = 259200.

The previous prime is 1042733. The next prime is 1042759. The reversal of 1042734 is 4372401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1042734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042733) 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 31 ways as a sum of consecutive naturals, for example, 17064 + ... + 17124.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

21042734 is an apocalyptic number.

1042734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056).

1042734 is an abundant number, since it is smaller than the sum of its proper divisors (1671378).

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

1042734 is a wasteful number, since it uses less digits than its factorization.

1042734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1042734 is about 1021.1434766966. The cubic root of 1042734 is about 101.4046440380.

The spelling of 1042734 in words is "one million, forty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 61 66 74 77 111 122 154 183 222 231 259 366 407 427 462 518 671 777 814 854 1221 1281 1342 1554 2013 2257 2442 2562 2849 4026 4514 4697 5698 6771 8547 9394 13542 14091 15799 17094 24827 28182 31598 47397 49654 74481 94794 148962 173789 347578 521367 1042734