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997444404 = 22321123971129
BaseRepresentation
bin111011011100111…
…100101100110100
32120111212102111100
4323130330230310
54020321210104
6242550410100
733501065115
oct7334745464
92514772440
10997444404
11472038820
1223a060930
1312b853bb8
149668420c
155c879139
hex3b73cb34

997444404 has 144 divisors (see below), whose sum is σ = 2902273920. Its totient is φ = 285880320.

The previous prime is 997444397. The next prime is 997444421. The reversal of 997444404 is 404444799.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 997444404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882912 + ... + 884040.

It is an arithmetic number, because the mean of its divisors is an integer number (20154680).

Almost surely, 2997444404 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 997444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451136960).

997444404 is an abundant number, since it is smaller than the sum of its proper divisors (1904829516).

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

997444404 is a wasteful number, since it uses less digits than its factorization.

997444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 997444404 is about 31582.3432316223. The cubic root of 997444404 is about 999.1474079601.

The spelling of 997444404 in words is "nine hundred ninety-seven million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 97 99 132 138 194 198 207 253 276 291 388 396 414 506 582 759 828 873 1012 1067 1129 1164 1518 1746 2134 2231 2258 2277 3036 3201 3387 3492 4268 4462 4516 4554 6402 6693 6774 8924 9108 9603 10161 12419 12804 13386 13548 19206 20079 20322 24541 24838 25967 26772 37257 38412 40158 40644 49082 49676 51934 73623 74514 77901 80316 98164 103868 109513 111771 147246 149028 155802 219026 220869 223542 233703 285637 294492 311604 328539 438052 441738 447084 467406 571274 657078 856911 883476 934812 985617 1142548 1204643 1314156 1713822 1971234 2409286 2518799 2570733 3427644 3613929 3942468 4818572 5037598 5141466 7227858 7556397 10075196 10282932 10841787 14455716 15112794 21683574 22669191 27706789 30225588 43367148 45338382 55413578 83120367 90676764 110827156 166240734 249361101 332481468 498722202 997444404