Search a number
-
+
34123460704 = 2519443126691
BaseRepresentation
bin11111110001111010…
…101011000001100000
310021002010022102001221
4133301322223001200
51024341101220304
623402012104424
72315416426114
oct376172530140
9107063272057
1034123460704
11135208930a3
126743a65114
1332aa752988
141919d39744
15d4ab3a054
hex7f1eab060

34123460704 has 48 divisors (see below), whose sum is σ = 70876572480. Its totient is φ = 16127130240.

The previous prime is 34123460699. The next prime is 34123460729. The reversal of 34123460704 is 40706432143.

It is a self number, because there is not a number n which added to its sum of digits gives 34123460704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205999 + ... + 332689.

It is an arithmetic number, because the mean of its divisors is an integer number (1476595260).

Almost surely, 234123460704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123460704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35438286240).

34123460704 is an abundant number, since it is smaller than the sum of its proper divisors (36753111776).

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

34123460704 is a wasteful number, since it uses less digits than its factorization.

34123460704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127163 (or 127155 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

Adding to 34123460704 its reverse (40706432143), we get a palindrome (74829892847).

The spelling of 34123460704 in words is "thirty-four billion, one hundred twenty-three million, four hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 443 608 886 1772 3544 7088 8417 14176 16834 33668 67336 126691 134672 253382 269344 506764 1013528 2027056 2407129 4054112 4814258 9628516 19257032 38514064 56124113 77028128 112248226 224496452 448992904 897985808 1066358147 1795971616 2132716294 4265432588 8530865176 17061730352 34123460704