Search a number
-
+
3431341424 = 247234712613
BaseRepresentation
bin1100110010000110…
…0001110101110000
322212010200012112102
43030201201311300
524011410411144
61324253315532
7151013630600
oct31441416560
98763605472
103431341424
1115009a2665
127b9195ba8
13428b7a554
14247a08c00
15151398b4e
hexcc861d70

3431341424 has 60 divisors (see below), whose sum is σ = 7756550424. Its totient is φ = 1466220672.

The previous prime is 3431341343. The next prime is 3431341453. The reversal of 3431341424 is 4241431343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265742 + ... + 278354.

Almost surely, 23431341424 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 3431341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878275212).

3431341424 is an abundant number, since it is smaller than the sum of its proper divisors (4325209000).

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

3431341424 is a wasteful number, since it uses less digits than its factorization.

3431341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12982 (or 12969 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 3431341424 is about 58577.6529403492. The cubic root of 3431341424 is about 1508.3008567457.

Adding to 3431341424 its reverse (4241431343), we get a palindrome (7672772767).

The spelling of 3431341424 in words is "three billion, four hundred thirty-one million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 347 392 694 784 1388 2429 2776 4858 5552 9716 12613 17003 19432 25226 34006 38864 50452 68012 88291 100904 136024 176582 201808 272048 353164 618037 706328 1236074 1412656 2472148 4376711 4944296 8753422 9888592 17506844 30636977 35013688 61273954 70027376 122547908 214458839 245095816 428917678 490191632 857835356 1715670712 3431341424