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401040432 = 243213283757
BaseRepresentation
bin10111111001110…
…110010000110000
31000221121222001100
4113321312100300
51310131243212
6103443404400
712636534042
oct2771662060
91027558040
10401040432
11196416681
12b2383700
1365117040
143b395a92
152531bbdc
hex17e76430

401040432 has 120 divisors (see below), whose sum is σ = 1214564624. Its totient is φ = 122798592.

The previous prime is 401040427. The next prime is 401040457. The reversal of 401040432 is 234040104.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 529398 + ... + 530154.

Almost surely, 2401040432 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 401040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607282312).

401040432 is an abundant number, since it is smaller than the sum of its proper divisors (813524192).

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

401040432 is a wasteful number, since it uses less digits than its factorization.

401040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 401040432 is about 20025.9939079188. The cubic root of 401040432 is about 737.4445773538. Note that the first 3 decimals are identical.

Adding to 401040432 its reverse (234040104), we get a palindrome (635080536).

The spelling of 401040432 in words is "four hundred one million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 283 312 468 566 624 757 849 936 1132 1514 1698 1872 2264 2271 2547 3028 3396 3679 4528 4542 5094 6056 6792 6813 7358 9084 9841 10188 11037 12112 13584 13626 14716 18168 19682 20376 22074 27252 29432 29523 33111 36336 39364 40752 44148 54504 58864 59046 66222 78728 88296 88569 109008 118092 132444 157456 176592 177138 214231 236184 264888 354276 428462 472368 529776 642693 708552 856924 1285386 1417104 1713848 1928079 2570772 2785003 3427696 3856158 5141544 5570006 7712316 8355009 10283088 11140012 15424632 16710018 22280024 25065027 30849264 33420036 44560048 50130054 66840072 100260108 133680144 200520216 401040432