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450000412344 = 233271248771503
BaseRepresentation
bin1101000110001100001…
…11010101111010111000
31121000112022011111020200
412203012013111322320
524333100101143334
6542421034322200
744340300251640
oct6430607257270
91530468144220
10450000412344
1116393155722a
1273268289360
13335864c3952
1417acc99d520
15ba8b320799
hex68c61d5eb8

450000412344 has 96 divisors (see below), whose sum is σ = 1392989445120. Its totient is φ = 128559451968.

The previous prime is 450000412343. The next prime is 450000412349. The reversal of 450000412344 is 443214000054.

It is a happy number.

It is a super-2 number, since 2×4500004123442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450000412343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6257697 + ... + 6329199.

It is an arithmetic number, because the mean of its divisors is an integer number (14510306720).

Almost surely, 2450000412344 is an apocalyptic number.

It is an amenable number.

450000412344 is an abundant number, since it is smaller than the sum of its proper divisors (942989032776).

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

450000412344 is a wasteful number, since it uses less digits than its factorization.

450000412344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84009 (or 84002 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 450000412344 its reverse (443214000054), we get a palindrome (893214412398).

The spelling of 450000412344 in words is "four hundred fifty billion, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 12487 24974 37461 49948 71503 74922 87409 99896 112383 143006 149844 174818 214509 224766 262227 286012 299688 349636 429018 449532 500521 524454 572024 643527 699272 786681 858036 899064 1001042 1048908 1287054 1501563 1573362 1716072 2002084 2097816 2574108 3003126 3146724 4004168 4504689 5148216 6006252 6293448 9009378 12012504 18018756 36037512 892857961 1785715922 2678573883 3571431844 5357147766 6250005727 7142863688 8035721649 10714295532 12500011454 16071443298 18750017181 21428591064 25000022908 32142886596 37500034362 50000045816 56250051543 64285773192 75000068724 112500103086 150000137448 225000206172 450000412344