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2045435304 = 2331123122721
BaseRepresentation
bin111100111101010…
…1101110110101000
312021112211212202010
41321322231312220
513142112412204
6534544435520
7101454625143
oct17172556650
95245755663
102045435304
1195a65a900
12491018ba0
132679c4b63
1415592505a
15be889d89
hex79eadda8

2045435304 has 96 divisors (see below), whose sum is σ = 5802289920. Its totient is φ = 599808000.

The previous prime is 2045435299. The next prime is 2045435321. The reversal of 2045435304 is 4035345402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78664 + ... + 101384.

It is an arithmetic number, because the mean of its divisors is an integer number (60440520).

Almost surely, 22045435304 is an apocalyptic number.

2045435304 is a gapful number since it is divisible by the number (24) 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 2045435304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901144960).

2045435304 is an abundant number, since it is smaller than the sum of its proper divisors (3756854616).

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

2045435304 is a wasteful number, since it uses less digits than its factorization.

2045435304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22783 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2045435304 is about 45226.4889638804. The cubic root of 2045435304 is about 1269.3905158249.

The spelling of 2045435304 in words is "two billion, forty-five million, four hundred thirty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 968 1023 1364 1452 2046 2728 2904 3751 4092 7502 8184 11253 15004 22506 22721 30008 45012 45442 68163 90024 90884 136326 181768 249931 272652 499862 545304 704351 749793 999724 1408702 1499586 1999448 2113053 2749241 2817404 2999172 4226106 5498482 5634808 5998344 7747861 8247723 8452212 10996964 15495722 16495446 16904424 21993928 23243583 30991444 32990892 46487166 61982888 65981784 85226471 92974332 170452942 185948664 255679413 340905884 511358826 681811768 1022717652 2045435304