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404044368 = 243713233397
BaseRepresentation
bin11000000101010…
…011101001010000
31001011021120200020
4120011103221100
51311413404433
6104032023440
713004214630
oct3005235120
91034246606
10404044368
11198088572
12b3391b80
1365929410
143b9386c0
1525711cb3
hex18153a50

404044368 has 160 divisors (see below), whose sum is σ = 1293417216. Its totient is φ = 105836544.

The previous prime is 404044351. The next prime is 404044369. The reversal of 404044368 is 863440404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404044369) 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 31 ways as a sum of consecutive naturals, for example, 1017546 + ... + 1017942.

Almost surely, 2404044368 is an apocalyptic number.

404044368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404044368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646708608).

404044368 is an abundant number, since it is smaller than the sum of its proper divisors (889372848).

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

404044368 is a wasteful number, since it uses less digits than its factorization.

404044368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 404044368 is about 20100.8549071924. The cubic root of 404044368 is about 739.2812402512.

The spelling of 404044368 in words is "four hundred four million, forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 233 273 312 336 364 397 466 546 624 699 728 794 932 1092 1191 1398 1456 1588 1631 1864 2184 2382 2779 2796 3029 3176 3262 3728 4368 4764 4893 5161 5558 5592 6058 6352 6524 8337 9087 9528 9786 10322 11116 11184 12116 13048 15483 16674 18174 19056 19572 20644 21203 22232 24232 26096 30966 33348 36127 36348 39144 41288 42406 44464 48464 61932 63609 66696 72254 72696 78288 82576 84812 92501 108381 123864 127218 133392 144508 145392 169624 185002 216762 247728 254436 277503 289016 339248 370004 433524 508872 555006 578032 647507 740008 867048 1017744 1110012 1202513 1295014 1480016 1734096 1942521 2220024 2405026 2590028 3607539 3885042 4440048 4810052 5180056 7215078 7770084 8417591 9620104 10360112 14430156 15540168 16835182 19240208 25252773 28860312 31080336 33670364 50505546 57720624 67340728 101011092 134681456 202022184 404044368