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307742336 = 27111271721
BaseRepresentation
bin10010010101111…
…100011010000000
3210110001221010022
4102111330122000
51112240223321
650311553012
710424523656
oct2225743200
9713057108
10307742336
11148792410
128708b768
134b9abb75
142cc2add6
151c03cdab
hex1257c680

307742336 has 64 divisors (see below), whose sum is σ = 674472960. Its totient is φ = 138700800.

The previous prime is 307742321. The next prime is 307742341. The reversal of 307742336 is 633247703.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 307742296 and 307742305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177956 + ... + 179676.

It is an arithmetic number, because the mean of its divisors is an integer number (10538640).

Almost surely, 2307742336 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 307742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337236480).

307742336 is an abundant number, since it is smaller than the sum of its proper divisors (366730624).

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

307742336 is a wasteful number, since it uses less digits than its factorization.

307742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 35.

The square root of 307742336 is about 17542.5863543549. The cubic root of 307742336 is about 675.1429681619.

The spelling of 307742336 in words is "three hundred seven million, seven hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 352 508 704 1016 1397 1408 1721 2032 2794 3442 4064 5588 6884 8128 11176 13768 16256 18931 22352 27536 37862 44704 55072 75724 89408 110144 151448 178816 218567 220288 302896 437134 605792 874268 1211584 1748536 2404237 2423168 3497072 4808474 6994144 9616948 13988288 19233896 27976576 38467792 76935584 153871168 307742336