Search a number
-
+
401097834 = 23237241397
BaseRepresentation
bin10111111010000…
…100010001101010
31000221201212210100
4113322010101222
51310140112314
6103444530230
712640163304
oct2772042152
91027655710
10401097834
11196455815
12b23b0976
13651371c7
143b3ac974
152532dc09
hex17e8446a

401097834 has 72 divisors (see below), whose sum is σ = 917257068. Its totient is φ = 126593280.

The previous prime is 401097821. The next prime is 401097841. The reversal of 401097834 is 438790104.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 300155625 + 100942209 = 17325^2 + 10047^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1010124 + ... + 1010520.

Almost surely, 2401097834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401097834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458628534).

401097834 is an abundant number, since it is smaller than the sum of its proper divisors (516159234).

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

401097834 is a wasteful number, since it uses less digits than its factorization.

401097834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 401097834 is about 20027.4270439315. The cubic root of 401097834 is about 737.4797598199.

The spelling of 401097834 in words is "four hundred one million, ninety-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 397 666 738 794 1191 1369 1517 2382 2738 3034 3573 4107 4551 7146 8214 9102 12321 13653 14689 16277 24642 27306 29378 32554 44067 48831 56129 88134 97662 112258 132201 146493 168387 264402 292986 336774 505161 543493 602249 1010322 1086986 1204498 1630479 1806747 3260958 3613494 4891437 5420241 9782874 10840482 22283213 44566426 66849639 133699278 200548917 401097834