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3485736 = 233248413
BaseRepresentation
bin1101010011000000101000
320120002112100
431103000220
51343020421
6202413400
741425332
oct15230050
96502470
103485736
111a70981
121201260
13950787
1466a452
1548cc26
hex353028

3485736 has 24 divisors (see below), whose sum is σ = 9440730. Its totient is φ = 1161888.

The previous prime is 3485701. The next prime is 3485737. The reversal of 3485736 is 6375843.

It is a happy number.

3485736 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3132900 + 352836 = 1770^2 + 594^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a d-powerful number, because it can be written as 311 + 44 + 8 + 59 + 77 + 312 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 3485736.

It is not an unprimeable number, because it can be changed into a prime (3485737) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24135 + ... + 24278.

Almost surely, 23485736 is an apocalyptic number.

3485736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3485736 is an abundant number, since it is smaller than the sum of its proper divisors (5954994).

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

3485736 is a wasteful number, since it uses less digits than its factorization.

3485736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48425 (or 48418 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3485736 is about 1867.0125869956. The cubic root of 3485736 is about 151.6229110719.

It can be divided in two parts, 348 and 5736, that added together give a square (6084 = 782).

The spelling of 3485736 in words is "three million, four hundred eighty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 48413 96826 145239 193652 290478 387304 435717 580956 871434 1161912 1742868 3485736