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305434336 = 2553732467
BaseRepresentation
bin10010001101001…
…000111011100000
3210021201200010211
4102031020323200
51111142344321
650150303504
710366102054
oct2215107340
9707650124
10305434336
11147456379
1286357b94
134b38149c
142c7c9c64
151bc340e1
hex12348ee0

305434336 has 48 divisors (see below), whose sum is σ = 621314064. Its totient is φ = 147723264.

The previous prime is 305434333. The next prime is 305434357. The reversal of 305434336 is 633434503.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 305434298 and 305434307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305434333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122575 + ... + 125041.

It is an arithmetic number, because the mean of its divisors is an integer number (12944043).

Almost surely, 2305434336 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 305434336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310657032).

305434336 is an abundant number, since it is smaller than the sum of its proper divisors (315879728).

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

305434336 is a wasteful number, since it uses less digits than its factorization.

305434336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

The square root of 305434336 is about 17476.6797762046. The cubic root of 305434336 is about 673.4509230526.

Adding to 305434336 its reverse (633434503), we get a palindrome (938868839).

The spelling of 305434336 in words is "three hundred five million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 73 106 146 212 292 424 584 848 1168 1696 2336 2467 3869 4934 7738 9868 15476 19736 30952 39472 61904 78944 123808 130751 180091 261502 360182 523004 720364 1046008 1440728 2092016 2881456 4184032 5762912 9544823 19089646 38179292 76358584 152717168 305434336