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305004012 = 2232310310729
BaseRepresentation
bin10010001011011…
…111110111101100
3210020220210211220
4102023133313230
51111040112022
650133143340
710362330345
oct2213376754
9706823756
10305004012
11147192035
128618ab50
134b260661
142c7170cc
151bb9b85c
hex122dfdec

305004012 has 48 divisors (see below), whose sum is σ = 749898240. Its totient is φ = 96294528.

The previous prime is 305003999. The next prime is 305004047. The reversal of 305004012 is 210400503.

It is a super-2 number, since 2×3050040122 = 186054894672192288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305003982 and 305004000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23064 + ... + 33792.

It is an arithmetic number, because the mean of its divisors is an integer number (15622880).

Almost surely, 2305004012 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 305004012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374949120).

305004012 is an abundant number, since it is smaller than the sum of its proper divisors (444894228).

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

305004012 is a wasteful number, since it uses less digits than its factorization.

305004012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10862 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 305004012 is about 17464.3640594211. The cubic root of 305004012 is about 673.1345011931.

Adding to 305004012 its reverse (210400503), we get a palindrome (515404515).

The spelling of 305004012 in words is "three hundred five million, four thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 1236 2369 4738 7107 9476 10729 14214 21458 28428 32187 42916 64374 128748 246767 493534 740301 987068 1105087 1480602 2210174 2961204 3315261 4420348 6630522 13261044 25417001 50834002 76251003 101668004 152502006 305004012