Search a number
-
+
3495672 = 2332471033
BaseRepresentation
bin1101010101011011111000
320120121011100
431111123320
51343330142
6202531400
741466315
oct15253370
96517140
103495672
111a78394
121206b60
1395515b
1466dd0c
15490b4c
hex3556f8

3495672 has 48 divisors (see below), whose sum is σ = 9678240. Its totient is φ = 1139328.

The previous prime is 3495647. The next prime is 3495673. The reversal of 3495672 is 2765943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3495673) 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 11 ways as a sum of consecutive naturals, for example, 2868 + ... + 3900.

It is an arithmetic number, because the mean of its divisors is an integer number (201630).

Almost surely, 23495672 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 3495672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839120).

3495672 is an abundant number, since it is smaller than the sum of its proper divisors (6182568).

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

3495672 is a wasteful number, since it uses less digits than its factorization.

3495672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1085 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3495672 is about 1869.6716289231. The cubic root of 3495672 is about 151.7668401274.

The spelling of 3495672 in words is "three million, four hundred ninety-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1033 1128 1692 2066 3099 3384 4132 6198 8264 9297 12396 18594 24792 37188 48551 74376 97102 145653 194204 291306 388408 436959 582612 873918 1165224 1747836 3495672