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401234430 = 23529487947
BaseRepresentation
bin10111111010100…
…101100111111110
31000221222211011110
4113322211213332
51310204000210
6103451502450
712641302452
oct2772454776
91027884143
10401234430
11196539403
12b2457a26
136518442c
143b406662
1525359420
hex17ea59fe

401234430 has 64 divisors (see below), whose sum is σ = 999267840. Its totient is φ = 102985344.

The previous prime is 401234417. The next prime is 401234453. The reversal of 401234430 is 34432104.

It is a junction number, because it is equal to n+sod(n) for n = 401234397 and 401234406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423217 + ... + 424163.

It is an arithmetic number, because the mean of its divisors is an integer number (15613560).

Almost surely, 2401234430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401234430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499633920).

401234430 is an abundant number, since it is smaller than the sum of its proper divisors (598033410).

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

401234430 is a wasteful number, since it uses less digits than its factorization.

401234430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 401234430 is about 20030.8369770212. The cubic root of 401234430 is about 737.5634678693.

Adding to 401234430 its reverse (34432104), we get a palindrome (435666534).

The spelling of 401234430 in words is "four hundred one million, two hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 487 870 947 974 1461 1894 2435 2841 2922 4735 4870 5682 7305 9470 14123 14205 14610 27463 28246 28410 42369 54926 70615 82389 84738 137315 141230 164778 211845 274630 411945 423690 461189 823890 922378 1383567 2305945 2767134 4611890 6917835 13374481 13835670 26748962 40123443 66872405 80246886 133744810 200617215 401234430