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238034748 = 223721723813
BaseRepresentation
bin11100011000000…
…01111100111100
3121120220102021210
432030001330330
5441414102443
635341524420
75620155600
oct1614017474
9546812253
10238034748
11112401036
1267873710
133a413483
1423883500
1515d6dc33
hexe301f3c

238034748 has 72 divisors (see below), whose sum is σ = 684128592. Its totient is φ = 64006656.

The previous prime is 238034701. The next prime is 238034773. The reversal of 238034748 is 847430832.

238034748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911 + ... + 21902.

It is an arithmetic number, because the mean of its divisors is an integer number (9501786).

Almost surely, 2238034748 is an apocalyptic number.

238034748 is a gapful number since it is divisible by the number (28) 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 238034748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342064296).

238034748 is an abundant number, since it is smaller than the sum of its proper divisors (446093844).

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

238034748 is a wasteful number, since it uses less digits than its factorization.

238034748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23851 (or 23842 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 238034748 is about 15428.3747685879. The cubic root of 238034748 is about 619.7456014914.

It can be divided in two parts, 2380 and 34748, that added together give a triangular number (37128 = T272).

The spelling of 238034748 in words is "two hundred thirty-eight million, thirty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 23813 47626 71439 95252 142878 166691 285756 333382 404821 500073 666764 809642 1000146 1166837 1214463 1619284 2000292 2333674 2428926 2833747 3500511 4667348 4857852 5667494 7001022 8501241 11334988 14002044 17002482 19836229 34004964 39672458 59508687 79344916 119017374 238034748