Search a number
-
+
34000366704 = 2437313174071
BaseRepresentation
bin11111101010100101…
…000110110001110000
310020202112200120211220
4133222211012301300
51024113043213304
623341453505040
72312363230353
oct375245066160
9106675616756
1034000366704
1113468358817
12670a7a2180
13328b0b46a5
14190785629a
15d3ee22ad9
hex7ea946c70

34000366704 has 80 divisors (see below), whose sum is σ = 89718376704. Its totient is φ = 11092723200.

The previous prime is 34000366691. The next prime is 34000366711. The reversal of 34000366704 is 40766300043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421989 + ... + 496059.

Almost surely, 234000366704 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 34000366704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44859188352).

34000366704 is an abundant number, since it is smaller than the sum of its proper divisors (55718010000).

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

34000366704 is a wasteful number, since it uses less digits than its factorization.

34000366704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74286 (or 74280 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

Adding to 34000366704 its reverse (40766300043), we get a palindrome (74766666747).

The spelling of 34000366704 in words is "thirty-four billion, three hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 131 146 219 262 292 393 438 524 584 786 876 1048 1168 1572 1752 2096 3144 3504 6288 9563 19126 28689 38252 57378 74071 76504 114756 148142 153008 222213 229512 296284 444426 459024 592568 888852 1185136 1777704 3555408 5407183 9703301 10814366 16221549 19406602 21628732 29109903 32443098 38813204 43257464 58219806 64886196 77626408 86514928 116439612 129772392 155252816 232879224 259544784 465758448 708340973 1416681946 2125022919 2833363892 4250045838 5666727784 8500091676 11333455568 17000183352 34000366704