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1445434100 = 2252111498819
BaseRepresentation
bin101011000100111…
…1001001011110100
310201201211122211022
41112021321023310
510430012342400
6355232400312
750550662405
oct12611711364
93651748738
101445434100
11681a01040
123440a6098
131a05c8866
14d9d7b9ac
1586d6bb85
hex562792f4

1445434100 has 72 divisors (see below), whose sum is σ = 3445092000. Its totient is φ = 522025600.

The previous prime is 1445434069. The next prime is 1445434147. The reversal of 1445434100 is 14345441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1445434100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159491 + ... + 168309.

It is an arithmetic number, because the mean of its divisors is an integer number (47848500).

Almost surely, 21445434100 is an apocalyptic number.

1445434100 is a gapful number since it is divisible by the number (10) 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 1445434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722546000).

1445434100 is an abundant number, since it is smaller than the sum of its proper divisors (1999657900).

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

1445434100 is a wasteful number, since it uses less digits than its factorization.

1445434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1445434100 is about 38018.8650540755. The cubic root of 1445434100 is about 1130.6619193424.

Adding to 1445434100 its reverse (14345441), we get a palindrome (1459779541).

The spelling of 1445434100 in words is "one billion, four hundred forty-five million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 149 220 275 298 550 596 745 1100 1490 1639 2980 3278 3725 6556 7450 8195 8819 14900 16390 17638 32780 35276 40975 44095 81950 88190 97009 163900 176380 194018 220475 388036 440950 485045 881900 970090 1314031 1940180 2425225 2628062 4850450 5256124 6570155 9700900 13140310 14454341 26280620 28908682 32850775 57817364 65701550 72271705 131403100 144543410 289086820 361358525 722717050 1445434100