Search a number
-
+
401362104 = 2331113831409
BaseRepresentation
bin10111111011000…
…100110010111000
31000222020022022010
4113323010302320
51310222041404
6103454325520
712642343623
oct2773046270
91028208263
10401362104
11196616320
12b24b98a0
13651ca590
143b43adba
1525382189
hex17ec4cb8

401362104 has 128 divisors (see below), whose sum is σ = 1193875200. Its totient is φ = 110837760.

The previous prime is 401362097. The next prime is 401362133. The reversal of 401362104 is 401263104.

It is a super-2 number, since 2×4013621042 = 322183077054613632, 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 31 ways as a sum of consecutive naturals, for example, 284152 + ... + 285560.

It is an arithmetic number, because the mean of its divisors is an integer number (9327150).

Almost surely, 2401362104 is an apocalyptic number.

401362104 is a gapful number since it is divisible by the number (44) 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 401362104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596937600).

401362104 is an abundant number, since it is smaller than the sum of its proper divisors (792513096).

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

401362104 is a wasteful number, since it uses less digits than its factorization.

401362104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 401362104 is about 20034.0236597644. The cubic root of 401362104 is about 737.6416912094.

The spelling of 401362104 in words is "four hundred one million, three hundred sixty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 83 88 104 132 143 156 166 249 264 286 312 332 429 498 572 664 858 913 996 1079 1144 1409 1716 1826 1992 2158 2739 2818 3237 3432 3652 4227 4316 5478 5636 6474 7304 8454 8632 10956 11272 11869 12948 15499 16908 18317 21912 23738 25896 30998 33816 35607 36634 46497 47476 54951 61996 71214 73268 92994 94952 109902 116947 123992 142428 146536 185988 201487 219804 233894 284856 350841 371976 402974 439608 467788 604461 701682 805948 935576 1208922 1286417 1403364 1520311 1611896 2417844 2572834 2806728 3040622 3859251 4560933 4835688 5145668 6081244 7718502 9121866 10291336 12162488 15437004 16723421 18243732 30874008 33446842 36487464 50170263 66893684 100340526 133787368 200681052 401362104