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3133404324 = 223543611229
BaseRepresentation
bin1011101011000011…
…1111010010100100
322002101001102200000
42322300333102210
522404122414244
61234531421300
7140435332401
oct27260772244
98071042600
103133404324
1113687a8056
12735454830
133ac2226cb
1421a2112a8
15135146169
hexbac3f4a4

3133404324 has 144 divisors (see below), whose sum is σ = 8549661120. Its totient is φ = 1002637440.

The previous prime is 3133404299. The next prime is 3133404397. The reversal of 3133404324 is 4234043313.

3133404324 is a `hidden beast` number, since 3 + 1 + 334 + 0 + 4 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2548942 + ... + 2550170.

Almost surely, 23133404324 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 3133404324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274830560).

3133404324 is an abundant number, since it is smaller than the sum of its proper divisors (5416256796).

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

3133404324 is a wasteful number, since it uses less digits than its factorization.

3133404324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3133404324 is about 55976.8195237993. The cubic root of 3133404324 is about 1463.3183301902.

Adding to 3133404324 its reverse (4234043313), we get a palindrome (7367447637).

The spelling of 3133404324 in words is "three billion, one hundred thirty-three million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 61 81 86 108 122 129 162 172 183 243 244 258 324 366 387 486 516 549 732 774 972 1098 1161 1229 1548 1647 2196 2322 2458 2623 3294 3483 3687 4644 4916 4941 5246 6588 6966 7374 7869 9882 10449 10492 11061 13932 14748 14823 15738 19764 20898 22122 23607 29646 31476 33183 41796 44244 47214 52847 59292 66366 70821 74969 94428 99549 105694 132732 141642 149938 158541 199098 211388 212463 224907 283284 298647 299876 317082 398196 424926 449814 475623 597294 634164 637389 674721 849852 899628 951246 1194588 1274778 1349442 1426869 1902492 2024163 2549556 2698884 2853738 3223667 4048326 4280607 5707476 6072489 6447334 8096652 8561214 9671001 12144978 12841821 12894668 17122428 18217467 19342002 24289956 25683642 29013003 36434934 38684004 51367284 58026006 72869868 87039009 116052012 174078018 261117027 348156036 522234054 783351081 1044468108 1566702162 3133404324