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406348261 = 11293793361
BaseRepresentation
bin11000001110000…
…110000111100101
31001022121122000121
4120032012013211
51313011121021
6104153241541
713032621544
oct3016060745
91038548017
10406348261
11199411510
12b41032b1
1366254c77
143bd7815b
1525a19741
hex183861e5

406348261 has 16 divisors (see below), whose sum is σ = 459921600. Its totient is φ = 355622400.

The previous prime is 406348223. The next prime is 406348273. The reversal of 406348261 is 162843604.

It is a cyclic number.

It is not a de Polignac number, because 406348261 - 27 = 406348133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406348561) 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 15 ways as a sum of consecutive naturals, for example, 119221 + ... + 122581.

It is an arithmetic number, because the mean of its divisors is an integer number (28745100).

Almost surely, 2406348261 is an apocalyptic number.

It is an amenable number.

406348261 is a deficient number, since it is larger than the sum of its proper divisors (53573339).

406348261 is a wasteful number, since it uses less digits than its factorization.

406348261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780.

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 406348261 is about 20158.0817787804. The cubic root of 406348261 is about 740.6837246628.

The spelling of 406348261 in words is "four hundred six million, three hundred forty-eight thousand, two hundred sixty-one".

Divisors: 1 11 29 319 379 3361 4169 10991 36971 97469 120901 1072159 1273819 14012009 36940751 406348261