Search a number
-
+
34054244325 = 3252412179503
BaseRepresentation
bin11111101101110010…
…101000011111100101
310020220022001212001100
4133231302220133211
51024220341304300
623351100350313
72313616205103
oct375562503745
9106808055040
1034054244325
1113495807882
126724845399
1332992c9a3a
141910a7cc73
15d44a16700
hex7edca87e5

34054244325 has 108 divisors (see below), whose sum is σ = 62993155680. Its totient is φ = 17585260800.

The previous prime is 34054244317. The next prime is 34054244363. The reversal of 34054244325 is 52344245043.

34054244325 is a `hidden beast` number, since 3 + 40 + 54 + 244 + 325 = 666.

It is not a de Polignac number, because 34054244325 - 23 = 34054244317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34054244325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67702024 + ... + 67702526.

It is an arithmetic number, because the mean of its divisors is an integer number (583269960).

Almost surely, 234054244325 is an apocalyptic number.

It is an amenable number.

34054244325 is a deficient number, since it is larger than the sum of its proper divisors (28938911355).

34054244325 is a wasteful number, since it uses less digits than its factorization.

34054244325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 34054244325 its reverse (52344245043), we get a palindrome (86398489368).

The spelling of 34054244325 in words is "thirty-four billion, fifty-four million, two hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 179 205 225 369 503 537 615 895 1025 1509 1611 1681 1845 2515 2685 3075 4475 4527 5043 7339 7545 8055 8405 9225 12575 13425 15129 20623 22017 22635 25215 36695 37725 40275 42025 61869 66051 75645 90037 103115 110085 113175 126075 183475 185607 270111 300899 309345 330255 378225 450185 515575 550425 810333 845543 902697 928035 1350555 1504495 1546725 1651275 2250925 2536629 2708091 3691517 4051665 4227715 4513485 4640175 6752775 7522475 7609887 11074551 12683145 13540455 18457585 20258325 21138575 22567425 33223653 38049435 55372755 63415725 67702275 92287925 151352197 166118265 190247175 276863775 454056591 756760985 830591325 1362169773 2270282955 3783804925 6810848865 11351414775 34054244325