Search a number
-
+
34511452000 = 255337323131
BaseRepresentation
bin100000001001000010…
…101111011101100000
310022002011101102001221
4200021002233131200
51031134412431000
623504312104424
72331140334064
oct401102573540
9108064342057
1034511452000
11136aa8a6763
126831995114
13333cc4b31c
141955695aa4
15d6ec2a61a
hex8090af760

34511452000 has 96 divisors (see below), whose sum is σ = 85025644704. Its totient is φ = 13766976000.

The previous prime is 34511451991. The next prime is 34511452007. The reversal of 34511452000 is 25411543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34511452007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480435 + ... + 1503565.

It is an arithmetic number, because the mean of its divisors is an integer number (885683799).

Almost surely, 234511452000 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 34511452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42512822352).

34511452000 is an abundant number, since it is smaller than the sum of its proper divisors (50514192704).

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

34511452000 is a wasteful number, since it uses less digits than its factorization.

34511452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23529 (or 23511 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 34511452000 its reverse (25411543), we get a palindrome (34536863543).

The spelling of 34511452000 in words is "thirty-four billion, five hundred eleven million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 373 400 500 746 800 1000 1492 1865 2000 2984 3730 4000 5968 7460 9325 11936 14920 18650 23131 29840 37300 46262 46625 59680 74600 92524 93250 115655 149200 185048 186500 231310 298400 370096 373000 462620 578275 740192 746000 925240 1156550 1492000 1850480 2313100 2891375 3700960 4626200 5782750 8627863 9252400 11565500 17255726 18504800 23131000 34511452 43139315 46262000 69022904 86278630 92524000 138045808 172557260 215696575 276091616 345114520 431393150 690229040 862786300 1078482875 1380458080 1725572600 2156965750 3451145200 4313931500 6902290400 8627863000 17255726000 34511452000