Search a number
-
+
431071212 = 2231121341557
BaseRepresentation
bin11001101100011…
…001111111101100
31010001010200112110
4121230121333230
51340323234322
6110435204020
713453021245
oct3154317754
91101120473
10431071212
11201368200
12100446610
136b400030
1441371ccc
1527c9ec0c
hex19b19fec

431071212 has 144 divisors (see below), whose sum is σ = 1221859296. Its totient is φ = 117427200.

The previous prime is 431071211. The next prime is 431071217. The reversal of 431071212 is 212170134.

It is not an unprimeable number, because it can be changed into a prime (431071211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773638 + ... + 774194.

It is an arithmetic number, because the mean of its divisors is an integer number (8485134).

Almost surely, 2431071212 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 431071212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610929648).

431071212 is an abundant number, since it is smaller than the sum of its proper divisors (790788084).

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

431071212 is a wasteful number, since it uses less digits than its factorization.

431071212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 431071212 is about 20762.2545018599. The cubic root of 431071212 is about 755.4104821650.

The spelling of 431071212 in words is "four hundred thirty-one million, seventy-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 41 44 52 66 78 82 121 123 132 143 156 164 242 246 286 363 429 451 484 492 533 557 572 726 858 902 1066 1114 1353 1452 1573 1599 1671 1716 1804 2132 2228 2706 3146 3198 3342 4719 4961 5412 5863 6127 6292 6396 6684 7241 9438 9922 11726 12254 14482 14883 17589 18381 18876 19844 21723 22837 23452 24508 28964 29766 35178 36762 43446 45674 59532 64493 67397 68511 70356 73524 79651 86892 91348 128986 134794 137022 159302 193479 202191 238953 251207 257972 269588 274044 296881 318604 386958 404382 477906 502414 593762 753621 773916 808764 876161 890643 955812 1004828 1187524 1507242 1752322 1781286 2628483 2763277 3014484 3265691 3504644 3562572 5256966 5526554 6531382 8289831 9797073 10513932 11053108 13062764 16579662 19594146 33159324 35922601 39188292 71845202 107767803 143690404 215535606 431071212