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321414041 = 1345754101
BaseRepresentation
bin10011001010000…
…110001110011001
3211101210112011202
4103022012032121
51124240222131
651521003545
710651655114
oct2312061631
9741715152
10321414041
11155480143
128b7835b5
1351787a30
143098957b
151d33dbcb
hex13286399

321414041 has 8 divisors (see below), whose sum is σ = 346902024. Its totient is φ = 296035200.

The previous prime is 321414031. The next prime is 321414043. The reversal of 321414041 is 140414123.

It can be written as a sum of positive squares in 4 ways, for example, as 89491600 + 231922441 = 9460^2 + 15229^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321414041 - 222 = 317219737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321414043) 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 7 ways as a sum of consecutive naturals, for example, 21110 + ... + 32991.

It is an arithmetic number, because the mean of its divisors is an integer number (43362753).

Almost surely, 2321414041 is an apocalyptic number.

It is an amenable number.

321414041 is a deficient number, since it is larger than the sum of its proper divisors (25487983).

321414041 is a wasteful number, since it uses less digits than its factorization.

321414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54571.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 321414041 is about 17928.0239011443. The cubic root of 321414041 is about 684.9963883519.

Adding to 321414041 its reverse (140414123), we get a palindrome (461828164).

The spelling of 321414041 in words is "three hundred twenty-one million, four hundred fourteen thousand, forty-one".

Divisors: 1 13 457 5941 54101 703313 24724157 321414041