Search a number
-
+
405354004 = 221112977103
BaseRepresentation
bin11000001010010…
…011011000010100
31001020202010011021
4120022103120110
51312232312004
6104120050524
713021311046
oct3012233024
91036663137
10405354004
111988a2510
12b3903a44
1365c97553
143bb99a96
15258bed54
hex18293614

405354004 has 24 divisors (see below), whose sum is σ = 774563328. Its totient is φ = 184083840.

The previous prime is 405353969. The next prime is 405354023. The reversal of 405354004 is 400453504.

It is a self number, because there is not a number n which added to its sum of digits gives 405354004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53517 + ... + 60619.

It is an arithmetic number, because the mean of its divisors is an integer number (32273472).

Almost surely, 2405354004 is an apocalyptic number.

405354004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405354004 is a deficient number, since it is larger than the sum of its proper divisors (369209324).

405354004 is a wasteful number, since it uses less digits than its factorization.

405354004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8415 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 405354004 is about 20133.4051764723. The cubic root of 405354004 is about 740.0791271609.

The spelling of 405354004 in words is "four hundred five million, three hundred fifty-four thousand, four".

Divisors: 1 2 4 11 22 44 1297 2594 5188 7103 14206 14267 28412 28534 57068 78133 156266 312532 9212591 18425182 36850364 101338501 202677002 405354004