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541345002 = 231131377151
BaseRepresentation
bin100000010001000…
…100010011101010
31101201122011201220
4200101010103222
52102041020002
6125414522510
716262233212
oct4021042352
91351564656
10541345002
11258636570
12131366436
13881ccbb3
1451c79242
15327d37bc
hex204444ea

541345002 has 64 divisors (see below), whose sum is σ = 1252343808. Its totient is φ = 154440000.

The previous prime is 541344989. The next prime is 541345009. The reversal of 541345002 is 200543145.

It is a super-2 number, since 2×5413450022 = 586108822380760008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541345009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72127 + ... + 79277.

It is an arithmetic number, because the mean of its divisors is an integer number (19567872).

Almost surely, 2541345002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541345002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626171904).

541345002 is an abundant number, since it is smaller than the sum of its proper divisors (710998806).

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

541345002 is a wasteful number, since it uses less digits than its factorization.

541345002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 541345002 is about 23266.8219144773. The cubic root of 541345002 is about 815.0008164896. Note that the first 3 decimals are identical.

Adding to 541345002 its reverse (200543145), we get a palindrome (741888147).

It can be divided in two parts, 541 and 345002, that added together give a palindrome (345543).

The spelling of 541345002 in words is "five hundred forty-one million, three hundred forty-five thousand, two".

Divisors: 1 2 3 6 11 22 31 33 37 62 66 74 93 111 186 222 341 407 682 814 1023 1147 1221 2046 2294 2442 3441 6882 7151 12617 14302 21453 25234 37851 42906 75702 78661 157322 221681 235983 264587 443362 471966 529174 665043 793761 1330086 1587522 2438491 2910457 4876982 5820914 7315473 8202197 8731371 14630946 16404394 17462742 24606591 49213182 90224167 180448334 270672501 541345002