Search a number
-
+
34157806704 = 2433721613653
BaseRepresentation
bin11111110011111101…
…101100010001110000
310021011111221100221000
4133303331230101300
51024423344303304
623405240202000
72316314365200
oct376375542160
9107144840830
1034157806704
111353921181a
126753469300
1332b48b9b58
14192071a400
15d4db71939
hex7f3f6c470

34157806704 has 120 divisors (see below), whose sum is σ = 114053064720. Its totient is φ = 9759367296.

The previous prime is 34157806703. The next prime is 34157806729. The reversal of 34157806704 is 40760875143.

34157806704 is a `hidden beast` number, since 3 + 4 + 1 + 578 + 0 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34157806704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34157806703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785659 + ... + 827994.

It is an arithmetic number, because the mean of its divisors is an integer number (950442206).

Almost surely, 234157806704 is an apocalyptic number.

It is an amenable number.

34157806704 is an abundant number, since it is smaller than the sum of its proper divisors (79895258016).

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

34157806704 is a wasteful number, since it uses less digits than its factorization.

34157806704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613684 (or 1613665 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 34157806704 in words is "thirty-four billion, one hundred fifty-seven million, eight hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 1613653 3227306 4840959 6454612 9681918 11295571 12909224 14522877 19363836 22591142 25818448 29045754 33886713 38727672 43568631 45182284 58091508 67773426 77455344 79068997 87137262 90364568 101660139 116183016 135546852 158137994 174274524 180729136 203320278 232366032 237206991 271093704 304980417 316275988 348549048 406640556 474413982 542187408 609960834 632551976 697098096 711620973 813281112 948827964 1219921668 1265103952 1423241946 1626562224 1897655928 2134862919 2439843336 2846483892 3795311856 4269725838 4879686672 5692967784 8539451676 11385935568 17078903352 34157806704