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331604112 = 243719127409
BaseRepresentation
bin10011110000111…
…110000010010000
3212002222020022210
4103300332002100
51134342312422
652523232120
711134405560
oct2360760220
9762866283
10331604112
11160200094
1293078640
1353914c68
143207cda0
151e1a310c
hex13c3e090

331604112 has 160 divisors (see below), whose sum is σ = 1041203200. Its totient is φ = 88833024.

The previous prime is 331604107. The next prime is 331604149. The reversal of 331604112 is 211406133.

It is a super-2 number, since 2×3316041122 = 219922574190617088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810564 + ... + 810972.

It is an arithmetic number, because the mean of its divisors is an integer number (6507520).

Almost surely, 2331604112 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 331604112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520601600).

331604112 is an abundant number, since it is smaller than the sum of its proper divisors (709599088).

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

331604112 is a wasteful number, since it uses less digits than its factorization.

331604112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 331604112 is about 18210.0003294893. Note that the first 3 decimals coincide. The cubic root of 331604112 is about 692.1602199539.

The spelling of 331604112 in words is "three hundred thirty-one million, six hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 127 133 152 168 228 254 266 304 336 381 399 409 456 508 532 762 798 818 889 912 1016 1064 1227 1524 1596 1636 1778 2032 2128 2413 2454 2667 2863 3048 3192 3272 3556 4826 4908 5334 5726 6096 6384 6544 7112 7239 7771 8589 9652 9816 10668 11452 14224 14478 15542 16891 17178 19304 19632 21336 22904 23313 28956 31084 33782 34356 38608 42672 45808 46626 50673 51943 54397 57912 62168 67564 68712 93252 101346 103886 108794 115824 124336 135128 137424 155829 163191 186504 202692 207772 217588 270256 311658 326382 363601 373008 405384 415544 435176 623316 652764 727202 810768 831088 870352 986917 1090803 1246632 1305528 1454404 1973834 2181606 2493264 2611056 2908808 2960751 3947668 4363212 5817616 5921502 6908419 7895336 8726424 11843004 13816838 15790672 17452848 20725257 23686008 27633676 41450514 47372016 55267352 82901028 110534704 165802056 331604112