Search a number
-
+
3425138784 = 25341777731
BaseRepresentation
bin1100110000100111…
…0111100001100000
322211201000002010000
43030021313201200
524003313420114
61323512340000
7150610125234
oct31411674140
98751002100
103425138784
1114a8446511
127b70a4600
134277b8252
14246c725c4
15150a70e09
hexcc277860

3425138784 has 120 divisors (see below), whose sum is σ = 10665918648. Its totient is φ = 1074539520.

The previous prime is 3425138779. The next prime is 3425138809. The reversal of 3425138784 is 4878315243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5199 + ... + 82929.

Almost surely, 23425138784 is an apocalyptic number.

3425138784 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 3425138784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332959324).

3425138784 is an abundant number, since it is smaller than the sum of its proper divisors (7240779864).

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

3425138784 is a wasteful number, since it uses less digits than its factorization.

3425138784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77770 (or 77753 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 3425138784 is about 58524.6852533185. The cubic root of 3425138784 is about 1507.3914854688.

The spelling of 3425138784 in words is "three billion, four hundred twenty-five million, one hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 77731 155462 233193 310924 466386 621848 699579 932772 1243696 1321427 1399158 1865544 2098737 2487392 2642854 2798316 3731088 3964281 4197474 5285708 5596632 6296211 7462176 7928562 8394948 10571416 11193264 11892843 12592422 15857124 16789896 21142832 22386528 23785686 25184844 31714248 33579792 35678529 42285664 47571372 50369688 63428496 67159584 71357058 95142744 100739376 107035587 126856992 142714116 190285488 201478752 214071174 285428232 380570976 428142348 570856464 856284696 1141712928 1712569392 3425138784