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434034234240 = 2735226059497
BaseRepresentation
bin1100101000011100111…
…01001101001110000000
31112111022120222121100220
412110032131031032000
524102400230443430
6531220443543040
743233526055505
oct6241635151600
91474276877326
10434034234240
11158089012312
127015122aa80
1331c10750199
14170163134ac
15b4547ab110
hex650e74d380

434034234240 has 64 divisors (see below), whose sum is σ = 1383484127760. Its totient is φ = 115742461952.

The previous prime is 434034234239. The next prime is 434034234247. The reversal of 434034234240 is 42432430434.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434034234247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113027829 + ... + 113031668.

Almost surely, 2434034234240 is an apocalyptic number.

434034234240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434034234240 is an abundant number, since it is smaller than the sum of its proper divisors (949449893520).

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

434034234240 is a wasteful number, since it uses less digits than its factorization.

434034234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226059519 (or 226059507 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 434034234240 its reverse (42432430434), we get a palindrome (476466664674).

The spelling of 434034234240 in words is "four hundred thirty-four billion, thirty-four million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 226059497 452118994 678178491 904237988 1130297485 1356356982 1808475976 2260594970 2712713964 3390892455 3616951952 4521189940 5425427928 6781784910 7233903904 9042379880 10850855856 13563569820 14467807808 18084759760 21701711712 27127139640 28935615616 36169519520 43403423424 54254279280 72339039040 86806846848 108508558560 144678078080 217017117120 434034234240