Search a number
-
+
34200233400 = 2335257000389
BaseRepresentation
bin11111110110011111…
…100010010110111000
310021021110202212102010
4133312133202112320
51030020224432100
623413353405520
72320341121164
oct376637422670
9107243685363
1034200233400
111356015a603
1267657098a0
1332c06230c8
141926201ca4
15d52752750
hex7f67e25b8

34200233400 has 48 divisors (see below), whose sum is σ = 106020725400. Its totient is φ = 9120062080.

The previous prime is 34200233399. The next prime is 34200233401. The reversal of 34200233400 is 433200243.

It is an interprime number because it is at equal distance from previous prime (34200233399) and next prime (34200233401).

It is a super-2 number, since 2×342002334002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200233401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28499595 + ... + 28500794.

Almost surely, 234200233400 is an apocalyptic number.

34200233400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34200233400 is an abundant number, since it is smaller than the sum of its proper divisors (71820492000).

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

34200233400 is a wasteful number, since it uses less digits than its factorization.

34200233400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57000408 (or 57000399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 34200233400 its reverse (433200243), we get a palindrome (34633433643).

The spelling of 34200233400 in words is "thirty-four billion, two hundred million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 57000389 114000778 171001167 228001556 285001945 342002334 456003112 570003890 684004668 855005835 1140007780 1368009336 1425009725 1710011670 2280015560 2850019450 3420023340 4275029175 5700038900 6840046680 8550058350 11400077800 17100116700 34200233400