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3485742 = 2313232967
BaseRepresentation
bin1101010011000000101110
320120002112120
431103000232
51343020432
6202413410
741425341
oct15230056
96502476
103485742
111a70987
121201266
13950790
1466a458
1548cc2c
hex35302e

3485742 has 64 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 975744.

The previous prime is 3485737. The next prime is 3485743. The reversal of 3485742 is 2475843.

3485742 is a modest number, since divided by 5742 gives 348 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51993 + ... + 52059.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 23485742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

3485742 is an abundant number, since it is smaller than the sum of its proper divisors (4739538).

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

3485742 is a wasteful number, since it uses less digits than its factorization.

3485742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137.

The product of its digits is 26880, while the sum is 33.

The square root of 3485742 is about 1867.0141938400. The cubic root of 3485742 is about 151.6229980681.

The spelling of 3485742 in words is "three million, four hundred eighty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 67 69 78 87 134 138 174 201 299 377 402 598 667 754 871 897 1131 1334 1541 1742 1794 1943 2001 2262 2613 3082 3886 4002 4623 5226 5829 8671 9246 11658 17342 20033 25259 26013 40066 44689 50518 52026 60099 75777 89378 120198 134067 151554 268134 580957 1161914 1742871 3485742