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3495744 = 26337172
BaseRepresentation
bin1101010101011101000000
320120121021000
431111131000
51343330434
6202532000
741466450
oct15253500
96517230
103495744
111a7844a
121207000
139551b5
1466dd60
15490b99
hex355740

3495744 has 168 divisors, whose sum is σ = 12476480. Its totient is φ = 940032.

The previous prime is 3495743. The next prime is 3495749. The reversal of 3495744 is 4475943.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×34957442 = 24440452227072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3495699 and 3495708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3495743) 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, 205624 + ... + 205640.

Almost surely, 23495744 is an apocalyptic number.

3495744 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238240).

3495744 is an abundant number, since it is smaller than the sum of its proper divisors (8980736).

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

3495744 is a wasteful number, since it uses less digits than its factorization.

3495744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

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

The square root of 3495744 is about 1869.6908835420. The cubic root of 3495744 is about 151.7678820956.

The spelling of 3495744 in words is "three million, four hundred ninety-five thousand, seven hundred forty-four".