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3934674225 = 355217311229
BaseRepresentation
bin1110101010000110…
…0101110100110001
3101011012210011100000
43222201211310301
531024234033400
61450233420213
7166335115266
oct35241456461
911135704300
103934674225
11173a025a89
1291986a669
134a922b601
142947cb26d
1518066e600
hexea865d31

3934674225 has 144 divisors (see below), whose sum is σ = 7994488320. Its totient is φ = 1909785600.

The previous prime is 3934674221. The next prime is 3934674257. The reversal of 3934674225 is 5224764393.

3934674225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3934674225 - 22 = 3934674221 is a prime.

It is a super-2 number, since 2×39346742252 = 30963322513758701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3934674221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3200911 + ... + 3202139.

It is an arithmetic number, because the mean of its divisors is an integer number (55517280).

Almost surely, 23934674225 is an apocalyptic number.

It is an amenable number.

3934674225 is an abundant number, since it is smaller than the sum of its proper divisors (4059814095).

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

3934674225 is a wasteful number, since it uses less digits than its factorization.

3934674225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1285 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3934674225 is about 62726.9816347001. The cubic root of 3934674225 is about 1578.7120606316.

The spelling of 3934674225 in words is "three billion, nine hundred thirty-four million, six hundred seventy-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 31 45 51 75 81 85 93 135 153 155 225 243 255 279 405 425 459 465 527 675 765 775 837 1215 1229 1275 1377 1395 1581 2025 2295 2325 2511 2635 3687 3825 4131 4185 4743 6075 6145 6885 6975 7533 7905 11061 11475 12555 13175 14229 18435 20655 20893 20925 23715 30725 33183 34425 37665 38099 39525 42687 55305 62679 62775 71145 92175 99549 103275 104465 114297 118575 128061 165915 188037 188325 190495 213435 276525 298647 313395 342891 355725 497745 522325 564111 571485 640305 647683 829575 940185 952475 1028673 1067175 1493235 1566975 1692333 1714455 1943049 2488725 2820555 2857425 3086019 3201525 3238415 4700925 5076999 5143365 5829147 7466175 8461665 8572275 9258057 9715245 14102775 15430095 16192075 17487441 25384995 25716825 29145735 42308325 46290285 48576225 52462323 77150475 87437205 126924975 145728675 157386969 231451425 262311615 437186025 786934845 1311558075 3934674225