Search a number
-
+
401339988 = 223372181419
BaseRepresentation
bin10111111010111…
…111011001010100
31000222012011222000
4113322333121110
51310220334423
6103454035300
712642222300
oct2772773124
91028164860
10401339988
11196600745
12b24a8b30
13651c04aa
143b432d00
152537a843
hex17ebf654

401339988 has 144 divisors (see below), whose sum is σ = 1219982400. Its totient is φ = 113762880.

The previous prime is 401339977. The next prime is 401339989. The reversal of 401339988 is 889933104.

It is a super-2 number, since 2×4013399882 = 322147571935680288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401339989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957643 + ... + 958061.

It is an arithmetic number, because the mean of its divisors is an integer number (8472100).

Almost surely, 2401339988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401339988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609991200).

401339988 is an abundant number, since it is smaller than the sum of its proper divisors (818642412).

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

401339988 is a wasteful number, since it uses less digits than its factorization.

401339988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 401339988 is about 20033.4716911473. The cubic root of 401339988 is about 737.6281423607.

The spelling of 401339988 in words is "four hundred one million, three hundred thirty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 181 189 196 252 294 362 378 419 441 543 588 724 756 838 882 1086 1257 1267 1323 1629 1676 1764 2172 2514 2534 2646 2933 3258 3771 3801 4887 5028 5068 5292 5866 6516 7542 7602 8799 8869 9774 11313 11403 11732 15084 15204 17598 17738 19548 20531 22626 22806 26397 26607 34209 35196 35476 41062 45252 45612 52794 53214 61593 68418 75839 79191 79821 82124 105588 106428 123186 136836 151678 158382 159642 184779 227517 239463 246372 303356 316764 319284 369558 455034 478926 530873 554337 682551 739116 910068 957852 1061746 1108674 1365102 1592619 2047653 2123492 2217348 2730204 3185238 3716111 4095306 4777857 6370476 7432222 8190612 9555714 11148333 14333571 14864444 19111428 22296666 28667142 33444999 44593332 57334284 66889998 100334997 133779996 200669994 401339988