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405432945 = 3451001069
BaseRepresentation
bin11000001010100…
…110101001110001
31001020220010110000
4120022212221301
51312242323240
6104121500213
713022060151
oct3012465161
91036803400
10405432945
11198946855
12b3941669
1365cc4468
143bbba761
15258d8430
hex182a6a71

405432945 has 20 divisors (see below), whose sum is σ = 726776820. Its totient is φ = 216230688.

The previous prime is 405432931. The next prime is 405432947. The reversal of 405432945 is 549234504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 220255281 + 185177664 = 14841^2 + 13608^2 .

It is not a de Polignac number, because 405432945 - 28 = 405432689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405432947) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 500130 + ... + 500939.

It is an arithmetic number, because the mean of its divisors is an integer number (36338841).

Almost surely, 2405432945 is an apocalyptic number.

405432945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405432945 is a deficient number, since it is larger than the sum of its proper divisors (321343875).

405432945 is a wasteful number, since it uses less digits than its factorization.

405432945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001086 (or 1001077 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 405432945 is about 20135.3655293367. The cubic root of 405432945 is about 740.1271664826.

The spelling of 405432945 in words is "four hundred five million, four hundred thirty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1001069 3003207 5005345 9009621 15016035 27028863 45048105 81086589 135144315 405432945