[go: up one dir, main page]

Search a number
-
+
1640034 = 233112251
BaseRepresentation
bin110010000011001100010
310002022201000
412100121202
5404440114
655052430
716640304
oct6203142
93068630
101640034
11a20200
12671116
13455646
14309974
15225e09
hex190662

1640034 has 48 divisors (see below), whose sum is σ = 4021920. Its totient is φ = 495000.

The previous prime is 1640033. The next prime is 1640053. The reversal of 1640034 is 4300461.

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

It is a junction number, because it is equal to n+sod(n) for n = 1639989 and 1640016.

It is not an unprimeable number, because it can be changed into a prime (1640033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6409 + ... + 6659.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

21640034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010960).

1640034 is an abundant number, since it is smaller than the sum of its proper divisors (2381886).

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

1640034 is a wasteful number, since it uses less digits than its factorization.

1640034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1640034 is about 1280.6381221875. The cubic root of 1640034 is about 117.9281857390.

Adding to 1640034 its reverse (4300461), we get a palindrome (5940495).

The spelling of 1640034 in words is "one million, six hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 251 297 363 502 594 726 753 1089 1506 2178 2259 2761 3267 4518 5522 6534 6777 8283 13554 16566 24849 30371 49698 60742 74547 91113 149094 182226 273339 546678 820017 1640034