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361428940 = 225413671201
BaseRepresentation
bin10101100010101…
…111011111001100
3221012002111022001
4111202233133030
51220011211230
655510402044
711646044455
oct2542573714
9835074261
10361428940
11176020a04
12a1060324
1359b582a2
143600412c
1521ae50ca
hex158af7cc

361428940 has 48 divisors (see below), whose sum is σ = 780280704. Its totient is φ = 140544000.

The previous prime is 361428929. The next prime is 361428941. The reversal of 361428940 is 49824163.

361428940 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

361428940 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 361428940.

It is not an unprimeable number, because it can be changed into a prime (361428941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300340 + ... + 301540.

It is an arithmetic number, because the mean of its divisors is an integer number (16255848).

Almost surely, 2361428940 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 361428940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390140352).

361428940 is an abundant number, since it is smaller than the sum of its proper divisors (418851764).

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

361428940 is a wasteful number, since it uses less digits than its factorization.

361428940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 361428940 is about 19011.2845436599. The cubic root of 361428940 is about 712.3186381527.

The spelling of 361428940 in words is "three hundred sixty-one million, four hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 367 410 734 820 1201 1468 1835 2402 3670 4804 6005 7340 12010 15047 24020 30094 49241 60188 75235 98482 150470 196964 246205 300940 440767 492410 881534 984820 1763068 2203835 4407670 8815340 18071447 36142894 72285788 90357235 180714470 361428940