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2434143900 = 2235226330851
BaseRepresentation
bin1001000100010110…
…0001011010011100
320021122021022200210
42101011201122130
514441120101100
61041312052420
7114214611306
oct22105413234
96248238623
102434143900
11103a013381
1257b234110
132ca3b1b46
141913ca976
15e3a6cc50
hex9116169c

2434143900 has 72 divisors (see below), whose sum is σ = 7069797504. Its totient is φ = 646616000.

The previous prime is 2434143893. The next prime is 2434143911. The reversal of 2434143900 is 93414342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63475 + ... + 94325.

It is an arithmetic number, because the mean of its divisors is an integer number (98191632).

Almost surely, 22434143900 is an apocalyptic number.

2434143900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434143900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534898752).

2434143900 is an abundant number, since it is smaller than the sum of its proper divisors (4635653604).

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

2434143900 is a wasteful number, since it uses less digits than its factorization.

2434143900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31131 (or 31124 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2434143900 is about 49337.0438919885. The cubic root of 2434143900 is about 1345.1852077934.

The spelling of 2434143900 in words is "two billion, four hundred thirty-four million, one hundred forty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 2630 3156 3945 5260 6575 7890 13150 15780 19725 26300 30851 39450 61702 78900 92553 123404 154255 185106 308510 370212 462765 617020 771275 925530 1542550 1851060 2313825 3085100 4627650 8113813 9255300 16227626 24341439 32455252 40569065 48682878 81138130 97365756 121707195 162276260 202845325 243414390 405690650 486828780 608535975 811381300 1217071950 2434143900