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3485144 = 2313233147
BaseRepresentation
bin1101010010110111011000
320120001201102
431102313120
51343011034
6202410532
741423525
oct15226730
96501642
103485144
111a70493
121200a48
13950420
1466a14c
1548c97e
hex352dd8

3485144 has 64 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 1457280.

The previous prime is 3485137. The next prime is 3485159. The reversal of 3485144 is 4415843.

Its product of digits (7680) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74129 + ... + 74175.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 23485144 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 3485144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

3485144 is an abundant number, since it is smaller than the sum of its proper divisors (4256296).

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

3485144 is a wasteful number, since it uses less digits than its factorization.

3485144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 3485144 is about 1866.8540382151. The cubic root of 3485144 is about 151.6143269599.

The spelling of 3485144 in words is "three million, four hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 23 26 31 46 47 52 62 92 94 104 124 184 188 248 299 376 403 598 611 713 806 1081 1196 1222 1426 1457 1612 2162 2392 2444 2852 2914 3224 4324 4888 5704 5828 8648 9269 11656 14053 18538 18941 28106 33511 37076 37882 56212 67022 74152 75764 112424 134044 151528 268088 435643 871286 1742572 3485144