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401638374 = 232236771433
BaseRepresentation
bin10111111100001…
…000001111100110
31000222202100021100
4113330020033212
51310304411444
6103504300530
712644604234
oct2774101746
91028670240
10401638374
11196794945
12b2611746
1365296257
143b4ad954
15253d8e69
hex17f083e6

401638374 has 48 divisors (see below), whose sum is σ = 910027872. Its totient is φ = 127780224.

The previous prime is 401638343. The next prime is 401638381. The reversal of 401638374 is 473836104.

It is a super-2 number, since 2×4016383742 = 322626766938727752, which contains 22 as substring.

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, 279562 + ... + 280994.

It is an arithmetic number, because the mean of its divisors is an integer number (18958914).

Almost surely, 2401638374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401638374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455013936).

401638374 is an abundant number, since it is smaller than the sum of its proper divisors (508389498).

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

401638374 is a wasteful number, since it uses less digits than its factorization.

401638374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 401638374 is about 20040.9174939672. The cubic root of 401638374 is about 737.8108996191.

The spelling of 401638374 in words is "four hundred one million, six hundred thirty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 677 1354 1433 2031 2866 4062 4299 6093 8598 12186 12897 15571 25794 31142 32959 46713 65918 93426 98877 140139 197754 280278 296631 593262 970141 1940282 2910423 5820846 8731269 17462538 22313243 44626486 66939729 133879458 200819187 401638374