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445000332 = 223737672137
BaseRepresentation
bin11010100001100…
…010101010001100
31011000100100200210
4122201202222030
51402410002312
6112053522420
714012304030
oct3241425214
91130310623
10445000332
11209211377
12105043410
137126910a
144315a1c0
1529101e3c
hex1a862a8c

445000332 has 96 divisors (see below), whose sum is σ = 1237508608. Its totient is φ = 121803264.

The previous prime is 445000321. The next prime is 445000351. The reversal of 445000332 is 233000544.

It is a happy number.

It is a super-2 number, since 2×4450003322 = 396050590960220448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 445000299 and 445000308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207168 + ... + 209304.

Almost surely, 2445000332 is an apocalyptic number.

445000332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618754304).

445000332 is an abundant number, since it is smaller than the sum of its proper divisors (792508276).

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

445000332 is a wasteful number, since it uses less digits than its factorization.

445000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 445000332 is about 21095.0309788822. The cubic root of 445000332 is about 763.4608620136.

Adding to 445000332 its reverse (233000544), we get a palindrome (678000876).

The spelling of 445000332 in words is "four hundred forty-five million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 67 74 84 111 134 148 201 222 259 268 402 444 469 518 777 804 938 1036 1407 1554 1876 2137 2479 2814 3108 4274 4958 5628 6411 7437 8548 9916 12822 14874 14959 17353 25644 29748 29918 34706 44877 52059 59836 69412 79069 89754 104118 143179 158138 179508 208236 237207 286358 316276 429537 474414 553483 572716 859074 948828 1002253 1106966 1660449 1718148 2004506 2213932 3006759 3320898 4009012 5297623 6013518 6641796 10595246 12027036 15892869 21190492 31785738 37083361 63571476 74166722 111250083 148333444 222500166 445000332