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634542678 = 2327112915787
BaseRepresentation
bin100101110100100…
…101101001010110
31122020000002220200
4211310211221112
52244420331203
6142544241330
721503344440
oct4564455126
91566002820
10634542678
112a6201340
12158610246
13a1601453
14603b9490
153aa929a3
hex25d25a56

634542678 has 96 divisors (see below), whose sum is σ = 1773308160. Its totient is φ = 159122880.

The previous prime is 634542631. The next prime is 634542703. The reversal of 634542678 is 876245436.

634542678 is a `hidden beast` number, since 6 + 34 + 542 + 6 + 78 = 666.

634542678 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32301 + ... + 48087.

It is an arithmetic number, because the mean of its divisors is an integer number (18471960).

Almost surely, 2634542678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634542678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886654080).

634542678 is an abundant number, since it is smaller than the sum of its proper divisors (1138765482).

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

634542678 is a wasteful number, since it uses less digits than its factorization.

634542678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15842 (or 15839 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 634542678 is about 25190.1305673472. The cubic root of 634542678 is about 859.3174131206.

The spelling of 634542678 in words is "six hundred thirty-four million, five hundred forty-two thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1827 1914 2233 2871 3654 4466 5742 6699 13398 15787 20097 31574 40194 47361 94722 110509 142083 173657 221018 284166 331527 347314 457823 520971 663054 915646 994581 1041942 1215599 1373469 1562913 1989162 2431198 2746938 3125826 3204761 3646797 4120407 5036053 6409522 7293594 8240814 9614283 10072106 10940391 15108159 19228566 21880782 28842849 30216318 35252371 45324477 57685698 70504742 90648954 105757113 211514226 317271339 634542678