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450373284 = 22381312
BaseRepresentation
bin11010110110000…
…010011010100100
31011101110100000000
4122312002122210
51410243421114
6112405021300
714106052434
oct3266023244
91141410000
10450373284
11211251129
121069b4830
13723ca88a
1443b582c4
1529813e09
hex1ad826a4

450373284 has 81 divisors (see below), whose sum is σ = 1191262891. Its totient is φ = 148978440.

The previous prime is 450373279. The next prime is 450373289. The reversal of 450373284 is 482373054.

It is a happy number.

The square root of 450373284 is 21222.

It is a perfect power (a square), and thus also a powerful number.

450373284 is a `hidden beast` number, since 4 + 5 + 0 + 373 + 284 = 666.

It is an interprime number because it is at equal distance from previous prime (450373279) and next prime (450373289).

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450373289) 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 26 ways as a sum of consecutive naturals, for example, 3437899 + ... + 3438029.

Almost surely, 2450373284 is an apocalyptic number.

450373284 is the 21222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450373284

450373284 is an abundant number, since it is smaller than the sum of its proper divisors (740889607).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450373284 is an frugal number, since it uses more digits than its factorization.

450373284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The cubic root of 450373284 is about 766.5212634984.

Multiplying 450373284 by its sum of digits (36), we get a square (16213438224 = 1273322).

450373284 divided by its sum of digits (36) gives a square (12510369 = 35372).

The spelling of 450373284 in words is "four hundred fifty million, three hundred seventy-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 243 262 324 393 486 524 729 786 972 1179 1458 1572 2187 2358 2916 3537 4374 4716 6561 7074 8748 10611 13122 14148 17161 21222 26244 31833 34322 42444 51483 63666 68644 95499 102966 127332 154449 190998 205932 286497 308898 381996 463347 572994 617796 859491 926694 1145988 1390041 1718982 1853388 2780082 3437964 4170123 5560164 8340246 12510369 16680492 25020738 37531107 50041476 75062214 112593321 150124428 225186642 450373284