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3434704 = 247213337
BaseRepresentation
bin1101000110100011010000
320110111112021
431012203100
51334402304
6201341224
741123500
oct15064320
96414467
103434704
111a365a9
121197814
13933490
14655a00
1547ca54
hex3468d0

3434704 has 60 divisors (see below), whose sum is σ = 8361444. Its totient is φ = 1354752.

The previous prime is 3434701. The next prime is 3434719. The reversal of 3434704 is 4074343.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 2729104 = 840^2 + 1652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10024 + ... + 10360.

Almost surely, 23434704 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 3434704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180722).

3434704 is an abundant number, since it is smaller than the sum of its proper divisors (4926740).

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

3434704 is a wasteful number, since it uses less digits than its factorization.

3434704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 3434704 is about 1853.2954432578. The cubic root of 3434704 is about 150.8793387200.

The spelling of 3434704 in words is "three million, four hundred thirty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 337 364 392 637 674 728 784 1274 1348 1456 2359 2548 2696 4381 4718 5096 5392 8762 9436 10192 16513 17524 18872 30667 33026 35048 37744 61334 66052 70096 122668 132104 214669 245336 264208 429338 490672 858676 1717352 3434704