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331680132 = 2232717139557
BaseRepresentation
bin10011110001010…
…000100110000100
3212010010002121100
4103301100212010
51134402231012
652525020100
711135143320
oct2361204604
9763102540
10331680132
11160252213
12930b4630
1353940744
143209c980
151e1ba8dc
hex13c50984

331680132 has 144 divisors (see below), whose sum is σ = 1023684480. Its totient is φ = 88390656.

The previous prime is 331680103. The next prime is 331680143. The reversal of 331680132 is 231086133.

It is a happy number.

It is a super-2 number, since 2×3316801322 = 220023419927074848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331680096 and 331680105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595198 + ... + 595754.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2331680132 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 331680132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

331680132 is an abundant number, since it is smaller than the sum of its proper divisors (692004348).

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

331680132 is a wasteful number, since it uses less digits than its factorization.

331680132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 331680132 is about 18212.0875244987. The cubic root of 331680132 is about 692.2131083206.

The spelling of 331680132 in words is "three hundred thirty-one million, six hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 139 153 204 238 252 278 306 357 417 476 556 557 612 714 834 973 1071 1114 1251 1428 1668 1671 1946 2142 2228 2363 2502 2919 3342 3892 3899 4284 4726 5004 5013 5838 6684 7089 7798 8757 9452 9469 10026 11676 11697 14178 15596 16541 17514 18938 20052 21267 23394 28356 28407 33082 35028 35091 37876 42534 46788 49623 56814 66164 66283 70182 77423 85068 85221 99246 113628 132566 140364 148869 154846 170442 198492 198849 232269 265132 297738 309692 340884 397698 464538 541961 595476 596547 696807 795396 929076 1083922 1193094 1316191 1393614 1625883 2167844 2386188 2632382 2787228 3251766 3948573 4877649 5264764 6503532 7897146 9213337 9755298 11845719 15794292 18426674 19510596 23691438 27640011 36853348 47382876 55280022 82920033 110560044 165840066 331680132