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338098368 = 26313272
BaseRepresentation
bin10100001001101…
…111100011000000
3212120012011202210
4110021233203000
51143023121433
653314342120
711243534346
oct2411574300
9776164683
10338098368
11163936343
129528a940
1355079c0a
1432c8d996
151ea37463
hex1426f8c0

338098368 has 42 divisors (see below), whose sum is σ = 895226556. Its totient is φ = 112614528.

The previous prime is 338098361. The next prime is 338098391. The reversal of 338098368 is 863890833.

It is a super-2 number, since 2×3380983682 = 228621012888526848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (338098361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254121 + ... + 255447.

It is an arithmetic number, because the mean of its divisors is an integer number (21314918).

Almost surely, 2338098368 is an apocalyptic number.

It is an amenable number.

338098368 is an abundant number, since it is smaller than the sum of its proper divisors (557128188).

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

338098368 is an frugal number, since it uses more digits than its factorization.

338098368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 338098368 is about 18387.4513731512. The cubic root of 338098368 is about 696.6495455552.

Multiplying 338098368 by its sum of digits (48), we get a square (16228721664 = 1273922).

338098368 divided by its sum of digits (48) gives a square (7043716 = 26542).

The spelling of 338098368 in words is "three hundred thirty-eight million, ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1327 2654 3981 5308 7962 10616 15924 21232 31848 42464 63696 84928 127392 254784 1760929 3521858 5282787 7043716 10565574 14087432 21131148 28174864 42262296 56349728 84524592 112699456 169049184 338098368