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345189003684 = 223737823134951
BaseRepresentation
bin1010000010111101101…
…11100011000110100100
31012222222211000021010020
411001132313203012210
521123421341104214
6422324434155140
733640051055640
oct5013667430644
91188884007106
10345189003684
11123437214638
1256a97122ab0
1326721c46b45
14129c892dc20
158ea49d34a9
hex505ede31a4

345189003684 has 96 divisors (see below), whose sum is σ = 946538213376. Its totient is φ = 95842569600.

The previous prime is 345189003641. The next prime is 345189003767. The reversal of 345189003684 is 486300981543.

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 31 ways as a sum of consecutive naturals, for example, 2490409 + ... + 2625359.

It is an arithmetic number, because the mean of its divisors is an integer number (9859773056).

Almost surely, 2345189003684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345189003684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473269106688).

345189003684 is an abundant number, since it is smaller than the sum of its proper divisors (601349209692).

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

345189003684 is a wasteful number, since it uses less digits than its factorization.

345189003684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135825 (or 135823 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 345189003684 in words is "three hundred forty-five billion, one hundred eighty-nine million, three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 823 1036 1554 1646 2469 3108 3292 4938 5761 9876 11522 17283 23044 30451 34566 60902 69132 91353 121804 134951 182706 213157 269902 365412 404853 426314 539804 639471 809706 852628 944657 1278942 1619412 1889314 2557884 2833971 3778628 4993187 5667942 9986374 11335884 14979561 19972748 29959122 34952309 59918244 69904618 104856927 111064673 139809236 209713854 222129346 333194019 419427708 444258692 666388038 777452711 1332776076 1554905422 2332358133 3109810844 4109392901 4664716266 8218785802 9329432532 12328178703 16437571604 24656357406 28765750307 49312714812 57531500614 86297250921 115063001228 172594501842 345189003684