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238348264 = 237112316823
BaseRepresentation
bin11100011010011…
…10011111101000
3121121111100100111
432031032133220
5442004121024
635352344104
75622632620
oct1615163750
9547440314
10238348264
111125a5640
12679a5034
133a4c309b
1423925880
1515dd1a94
hexe34e7e8

238348264 has 64 divisors (see below), whose sum is σ = 581437440. Its totient is φ = 88820160.

The previous prime is 238348249. The next prime is 238348291. The reversal of 238348264 is 462843832.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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, 5757 + ... + 22579.

It is an arithmetic number, because the mean of its divisors is an integer number (9084960).

Almost surely, 2238348264 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 238348264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290718720).

238348264 is an abundant number, since it is smaller than the sum of its proper divisors (343089176).

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

238348264 is a wasteful number, since it uses less digits than its factorization.

238348264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16870 (or 16866 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 238348264 is about 15438.5317954785. The cubic root of 238348264 is about 620.0175714756.

The spelling of 238348264 in words is "two hundred thirty-eight million, three hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 7084 14168 16823 33646 67292 117761 134584 185053 235522 370106 386929 471044 740212 773858 942088 1295371 1480424 1547716 2590742 2708503 3095432 4256219 5181484 5417006 8512438 10362968 10834012 17024876 21668024 29793533 34049752 59587066 119174132 238348264