Search a number
-
+
34200432112 = 2471146359957
BaseRepresentation
bin11111110110100000…
…010010110111110000
310021021111010221222211
4133312200102313300
51030020302311422
623413401541504
72320342606420
oct376640226760
9107244127884
1034200432112
1113560285930
1267657a4894
1332c06926a2
141926254480
15d52791577
hex7f6812df0

34200432112 has 80 divisors (see below), whose sum is σ = 82793843712. Its totient is φ = 13295842560.

The previous prime is 34200432109. The next prime is 34200432127. The reversal of 34200432112 is 21123400243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540438 + ... + 600394.

Almost surely, 234200432112 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 34200432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41396921856).

34200432112 is an abundant number, since it is smaller than the sum of its proper divisors (48593411600).

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

34200432112 is a wasteful number, since it uses less digits than its factorization.

34200432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60446 (or 60440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34200432112 its reverse (21123400243), we get a palindrome (55323832355).

The spelling of 34200432112 in words is "thirty-four billion, two hundred million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 463 616 926 1232 1852 3241 3704 5093 6482 7408 10186 12964 20372 25928 35651 40744 51856 59957 71302 81488 119914 142604 239828 285208 419699 479656 570416 659527 839398 959312 1319054 1678796 2638108 3357592 4616689 5276216 6715184 9233378 10552432 18466756 27760091 36933512 55520182 73867024 111040364 194320637 222080728 305361001 388641274 444161456 610722002 777282548 1221444004 1554565096 2137527007 2442888008 3109130192 4275054014 4885776016 8550108028 17100216056 34200432112