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238084340 = 2251331109271
BaseRepresentation
bin11100011000011…
…10000011110100
3121120222221022112
432030032003310
5441422144330
635342550152
75620453304
oct1614160364
9546887275
10238084340
1111243531a
1267898358
133a42cc10
1423897604
1515d7d795
hexe30e0f4

238084340 has 96 divisors (see below), whose sum is σ = 562974720. Its totient is φ = 83980800.

The previous prime is 238084331. The next prime is 238084351. The reversal of 238084340 is 43480832.

It is a junction number, because it is equal to n+sod(n) for n = 238084297 and 238084306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878405 + ... + 878675.

It is an arithmetic number, because the mean of its divisors is an integer number (5864320).

Almost surely, 2238084340 is an apocalyptic number.

238084340 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 238084340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281487360).

238084340 is an abundant number, since it is smaller than the sum of its proper divisors (324890380).

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

238084340 is a wasteful number, since it uses less digits than its factorization.

238084340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 238084340 is about 15429.9818535214. The cubic root of 238084340 is about 619.7886376307.

The spelling of 238084340 in words is "two hundred thirty-eight million, eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 109 124 130 155 218 260 271 310 403 436 542 545 620 806 1084 1090 1355 1417 1612 2015 2180 2710 2834 3379 3523 4030 5420 5668 6758 7046 7085 8060 8401 13516 14092 14170 16802 16895 17615 28340 29539 33604 33790 35230 42005 43927 59078 67580 70460 84010 87854 109213 118156 147695 168020 175708 218426 219635 295390 384007 436852 439270 546065 590780 768014 878540 915709 1092130 1536028 1831418 1920035 2184260 3662836 3840070 4578545 7680140 9157090 11904217 18314180 23808434 47616868 59521085 119042170 238084340