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296734820 = 225372331721
BaseRepresentation
bin10001101011111…
…101000001100100
3202200100200122112
4101223331001210
51101431003240
645240020152
710232130044
oct2153750144
9680320575
10296734820
11142554298
1283461658
1349626845
142b5a3724
151b0b6665
hex11afd064

296734820 has 48 divisors (see below), whose sum is σ = 643105008. Its totient is φ = 114923520.

The previous prime is 296734819. The next prime is 296734831. The reversal of 296734820 is 28437692.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4393216 + 292341604 = 2096^2 + 17098^2 .

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, 171560 + ... + 173280.

It is an arithmetic number, because the mean of its divisors is an integer number (13398021).

Almost surely, 2296734820 is an apocalyptic number.

296734820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296734820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321552504).

296734820 is an abundant number, since it is smaller than the sum of its proper divisors (346370188).

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

296734820 is a wasteful number, since it uses less digits than its factorization.

296734820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 296734820 is about 17225.9925693703. The cubic root of 296734820 is about 666.9953973220.

The spelling of 296734820 in words is "two hundred ninety-six million, seven hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 233 370 466 740 932 1165 1721 2330 3442 4660 6884 8605 8621 17210 17242 34420 34484 43105 63677 86210 127354 172420 254708 318385 400993 636770 801986 1273540 1603972 2004965 4009930 8019860 14836741 29673482 59346964 74183705 148367410 296734820