Search a number
-
+
34100071616 = 261342119733
BaseRepresentation
bin11111110000100001…
…011100110011000000
310021000111022010021102
4133300201130303000
51024314104242431
623355414513532
72315013553262
oct376041346300
9107014263242
1034100071616
1113509668576
1267380658a8
1332a5953a90
141916babb32
15d48a69dcb
hex7f085ccc0

34100071616 has 56 divisors (see below), whose sum is σ = 72897303024. Its totient is φ = 15733140480.

The previous prime is 34100071613. The next prime is 34100071619. The reversal of 34100071616 is 61617000143.

It is an interprime number because it is at equal distance from previous prime (34100071613) and next prime (34100071619).

It is not an unprimeable number, because it can be changed into a prime (34100071613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3498686 + ... + 3508418.

It is an arithmetic number, because the mean of its divisors is an integer number (1301737554).

Almost surely, 234100071616 is an apocalyptic number.

It is an amenable number.

34100071616 is an abundant number, since it is smaller than the sum of its proper divisors (38797231408).

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

34100071616 is a wasteful number, since it uses less digits than its factorization.

34100071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13969 (or 13959 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 34100071616 its reverse (61617000143), we get a palindrome (95717071759).

The spelling of 34100071616 in words is "thirty-four billion, one hundred million, seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 4211 8422 9733 16844 19466 33688 38932 54743 67376 77864 109486 126529 134752 155728 218972 253058 269504 311456 437944 506116 622912 875888 1012232 1751776 2024464 3503552 4048928 8097856 40985663 81971326 163942652 327885304 532813619 655770608 1065627238 1311541216 2131254476 2623082432 4262508952 8525017904 17050035808 34100071616