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440461 = 7289101
BaseRepresentation
bin1101011100010001101
3211101012101
41223202031
5103043321
613235101
73513100
oct1534215
9741171
10440461
11280a1a
12192a91
13125638
14b6737
158a791
hex6b88d

440461 has 12 divisors (see below), whose sum is σ = 523260. Its totient is φ = 369600.

The previous prime is 440443. The next prime is 440471. The reversal of 440461 is 164044.

It can be written as a sum of positive squares in 2 ways, for example, as 275625 + 164836 = 525^2 + 406^2 .

It is not a de Polignac number, because 440461 - 27 = 440333 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4311 + ... + 4411.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

2440461 is an apocalyptic number.

It is an amenable number.

440461 is a deficient number, since it is larger than the sum of its proper divisors (82799).

440461 is a wasteful number, since it uses less digits than its factorization.

440461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 440461 is about 663.6723589242. The cubic root of 440461 is about 76.0856029904.

It can be divided in two parts, 4404 and 61, that added together give a triangular number (4465 = T94).

The spelling of 440461 in words is "four hundred forty thousand, four hundred sixty-one".

Divisors: 1 7 49 89 101 623 707 4361 4949 8989 62923 440461