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331481436 = 22311213171033
BaseRepresentation
bin10011110000100…
…000000101011100
3212002202000001020
4103300200011130
51134324401221
652520444140
711133355116
oct2360400534
9762660036
10331481436
11160126a00
1293019650
13538a1180
143204a3b6
151e17bac6
hex13c2015c

331481436 has 144 divisors (see below), whose sum is σ = 970355232. Its totient is φ = 87183360.

The previous prime is 331481431. The next prime is 331481443. The reversal of 331481436 is 634184133.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 331481397 and 331481406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331481431) by changing a digit.

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, 320376 + ... + 321408.

It is an arithmetic number, because the mean of its divisors is an integer number (6738578).

Almost surely, 2331481436 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 331481436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485177616).

331481436 is an abundant number, since it is smaller than the sum of its proper divisors (638873796).

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

331481436 is a wasteful number, since it uses less digits than its factorization.

331481436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 331481436 is about 18206.6316489350. The cubic root of 331481436 is about 692.0748551900.

The spelling of 331481436 in words is "three hundred thirty-one million, four hundred eighty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 121 132 143 156 187 204 221 242 286 363 374 429 442 484 561 572 663 726 748 858 884 1033 1122 1326 1452 1573 1716 2057 2066 2244 2431 2652 3099 3146 4114 4132 4719 4862 6171 6198 6292 7293 8228 9438 9724 11363 12342 12396 13429 14586 17561 18876 22726 24684 26741 26858 29172 34089 35122 40287 45452 52683 53482 53716 68178 70244 80223 80574 105366 106964 124993 136356 147719 160446 161148 193171 210732 228293 249986 295438 320892 374979 386342 443157 456586 499972 579513 590876 684879 749958 772684 886314 913172 1159026 1369758 1499916 1624909 1772628 2124881 2318052 2511223 2739516 3249818 4249762 4874727 5022446 6374643 6499636 7533669 8499524 9749454 10044892 12749286 15067338 19498908 25498572 27623453 30134676 55246906 82870359 110493812 165740718 331481436