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306534040 = 23541311601
BaseRepresentation
bin10010010001010…
…101011010011000
3210100210112122121
4102101111122120
51111433042130
650230031024
710411332151
oct2221253230
9710715577
10306534040
1114803761a
12867a8474
134b677bb7
142c9d4928
151bd9ed7a
hex12455698

306534040 has 64 divisors (see below), whose sum is σ = 709974720. Its totient is φ = 119040000.

The previous prime is 306534037. The next prime is 306534061. The reversal of 306534040 is 40435603.

It is a junction number, because it is equal to n+sod(n) for n = 306533996 and 306534014.

It is a congruent number.

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, 509740 + ... + 510340.

It is an arithmetic number, because the mean of its divisors is an integer number (11093355).

Almost surely, 2306534040 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 306534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354987360).

306534040 is an abundant number, since it is smaller than the sum of its proper divisors (403440680).

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

306534040 is a wasteful number, since it uses less digits than its factorization.

306534040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 306534040 is about 17508.1135477241. The cubic root of 306534040 is about 674.2581992609.

Adding to 306534040 its reverse (40435603), we get a palindrome (346969643).

The spelling of 306534040 in words is "three hundred six million, five hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 311 328 410 601 622 820 1202 1244 1555 1640 2404 2488 3005 3110 4808 6010 6220 12020 12440 12751 24040 24641 25502 49282 51004 63755 98564 102008 123205 127510 186911 197128 246410 255020 373822 492820 510040 747644 934555 985640 1495288 1869110 3738220 7476440 7663351 15326702 30653404 38316755 61306808 76633510 153267020 306534040