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990347472 = 24351032473
BaseRepresentation
bin111011000001111…
…000000011010000
32120000111212100000
4323001320003100
54012012104342
6242134330000
733353546262
oct7301700320
92500455300
10990347472
11469030794
122377b9900
1312a23a82a
1495757b32
155be2644c
hex3b0780d0

990347472 has 120 divisors (see below), whose sum is σ = 2903328064. Its totient is φ = 326778624.

The previous prime is 990347459. The next prime is 990347531. The reversal of 990347472 is 274743099.

It is a congruent number.

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, 399228 + ... + 401700.

Almost surely, 2990347472 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 990347472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451664032).

990347472 is an abundant number, since it is smaller than the sum of its proper divisors (1912980592).

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

990347472 is a wasteful number, since it uses less digits than its factorization.

990347472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 990347472 is about 31469.7866532330. The cubic root of 990347472 is about 996.7720824258.

It can be divided in two parts, 9903 and 47472, that added together give a palindrome (57375).

The spelling of 990347472 in words is "nine hundred ninety million, three hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 206 216 243 309 324 412 432 486 618 648 824 927 972 1236 1296 1648 1854 1944 2472 2473 2781 3708 3888 4944 4946 5562 7416 7419 8343 9892 11124 14832 14838 16686 19784 22248 22257 25029 29676 33372 39568 44496 44514 50058 59352 66744 66771 89028 100116 118704 133488 133542 178056 200232 200313 254719 267084 356112 400464 400626 509438 534168 600939 764157 801252 1018876 1068336 1201878 1528314 1602504 2037752 2292471 2403756 3056628 3205008 4075504 4584942 4807512 6113256 6877413 9169884 9615024 12226512 13754826 18339768 20632239 27509652 36679536 41264478 55019304 61896717 82528956 110038608 123793434 165057912 247586868 330115824 495173736 990347472