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4307054634 = 234193759641
BaseRepresentation
bin1000000001011100…
…00111000000101010
3102010011111001020000
410000232013000222
532310101222014
61551215043430
7211506234411
oct40056070052
912104431200
104307054634
111910246993
12a02510576
1353841c54c
142cc042478
151a31c9509
hex100b8702a

4307054634 has 160 divisors (see below), whose sum is σ = 10626897600. Its totient is φ = 1298903040.

The previous prime is 4307054627. The next prime is 4307054651. The reversal of 4307054634 is 4364507034.

It is a happy number.

4307054634 is a `hidden beast` number, since 43 + 0 + 70 + 546 + 3 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6718954 + ... + 6719594.

It is an arithmetic number, because the mean of its divisors is an integer number (66418110).

Almost surely, 24307054634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4307054634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313448800).

4307054634 is an abundant number, since it is smaller than the sum of its proper divisors (6319842966).

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

4307054634 is a wasteful number, since it uses less digits than its factorization.

4307054634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4307054634 is about 65628.1542784802. The cubic root of 4307054634 is about 1627.0221307197.

The spelling of 4307054634 in words is "four billion, three hundred seven million, fifty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 59 74 81 111 114 118 162 171 177 222 333 342 354 513 531 641 666 703 999 1026 1062 1121 1282 1406 1539 1593 1923 1998 2109 2183 2242 2997 3078 3186 3363 3846 4218 4366 4779 5769 5994 6327 6549 6726 9558 10089 11538 12179 12654 13098 17307 18981 19647 20178 23717 24358 30267 34614 36537 37819 37962 39294 41477 47434 51921 56943 58941 60534 71151 73074 75638 82954 90801 103842 109611 113457 113886 117882 124431 142302 176823 181602 213453 219222 226914 248862 328833 340371 353646 373293 426906 450623 640359 657666 680742 718561 746586 901246 986499 1021113 1119879 1280718 1351869 1399303 1437122 1921077 1972998 2042226 2155683 2239758 2703738 2798606 3063339 3359637 3842154 4055607 4197909 4311366 6126678 6467049 6719274 8111214 8395818 12166821 12593727 12934098 19401147 24333642 25187454 26586757 36500463 37781181 38802294 53173514 58203441 73000926 75562362 79760271 113343543 116406882 159520542 226687086 239280813 478561626 717842439 1435684878 2153527317 4307054634