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306434048 = 21279947
BaseRepresentation
bin10010010000111…
…101000000000000
3210100121110111012
4102100331000000
51111421342143
650223540052
710410434504
oct2220750000
9710543435
10306434048
11147a79488
128675a628
134b64152b
142c9aa304
151bd80418
hex1243d000

306434048 has 52 divisors (see below), whose sum is σ = 621205440. Its totient is φ = 151117824.

The previous prime is 306434017. The next prime is 306434053. The reversal of 306434048 is 840434603.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323111 + ... + 324057.

Almost surely, 2306434048 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 306434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310602720).

306434048 is an abundant number, since it is smaller than the sum of its proper divisors (314771392).

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

306434048 is an frugal number, since it uses more digits than its factorization.

306434048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 306434048 is about 17505.2577244667. The cubic root of 306434048 is about 674.1848765091.

The spelling of 306434048 in words is "three hundred six million, four hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 947 1024 1264 1894 2048 2528 3788 4096 5056 7576 10112 15152 20224 30304 40448 60608 74813 80896 121216 149626 161792 242432 299252 323584 484864 598504 969728 1197008 1939456 2394016 3878912 4788032 9576064 19152128 38304256 76608512 153217024 306434048