Search a number
-
+
30442140 = 22325533191
BaseRepresentation
bin111010000100…
…0001010011100
32010021121202200
41310020022130
530243122030
63004251500
7516516411
oct164101234
963247680
1030442140
11162026a3
12a240b90
1363cb301
144086108
152a14d60
hex1d0829c

30442140 has 72 divisors (see below), whose sum is σ = 94112928. Its totient is φ = 7962240.

The previous prime is 30442129. The next prime is 30442177. The reversal of 30442140 is 4124403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7945 + ... + 11135.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 230442140 is an apocalyptic number.

30442140 is a gapful number since it is divisible by the number (30) 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 30442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

30442140 is an abundant number, since it is smaller than the sum of its proper divisors (63670788).

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

30442140 is a wasteful number, since it uses less digits than its factorization.

30442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 30442140 is about 5517.4396235935. The cubic root of 30442140 is about 312.2422920689.

Adding to 30442140 its reverse (4124403), we get a palindrome (34566543).

It can be divided in two parts, 3044 and 2140, that added together give a square (5184 = 722).

The spelling of 30442140 in words is "thirty million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 3191 4770 6382 9540 9573 12764 15955 19146 28719 31910 38292 47865 57438 63820 95730 114876 143595 169123 191460 287190 338246 507369 574380 676492 845615 1014738 1522107 1691230 2029476 2536845 3044214 3382460 5073690 6088428 7610535 10147380 15221070 30442140