Search a number
-
+
30368360440 = 23511193632579
BaseRepresentation
bin11100010010000110…
…000110011111111000
32220101102102112220101
4130102012012133320
5444143300013230
621541231205144
72123361542665
oct342206063770
986342375811
1030368360440
1111974169750
125a763767b4
132b2c7a9362
141681334a6c
15bcb13caca
hex7121867f8

30368360440 has 64 divisors (see below), whose sum is σ = 78463728000. Its totient is φ = 10461824640.

The previous prime is 30368360387. The next prime is 30368360441. The reversal of 30368360440 is 4406386303.

It is a self number, because there is not a number n which added to its sum of digits gives 30368360440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30368360441) 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 15 ways as a sum of consecutive naturals, for example, 1807930 + ... + 1824649.

It is an arithmetic number, because the mean of its divisors is an integer number (1225995750).

Almost surely, 230368360440 is an apocalyptic number.

It is an amenable number.

30368360440 is an abundant number, since it is smaller than the sum of its proper divisors (48095367560).

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

30368360440 is a wasteful number, since it uses less digits than its factorization.

30368360440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632620 (or 3632616 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 30368360440 in words is "thirty billion, three hundred sixty-eight million, three hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 3632579 7265158 14530316 18162895 29060632 36325790 39958369 69019001 72651580 79916738 138038002 145303160 159833476 199791845 276076004 319666952 345095005 399583690 552152008 690190010 759209011 799167380 1380380020 1518418022 1598334760 2760760040 3036836044 3796045055 6073672088 7592090110 15184180220 30368360440