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404058340 = 225731157593
BaseRepresentation
bin11000000101010…
…111000011100100
31001011022021211201
4120011113003210
51311414331330
6104032212244
713004303440
oct3005270344
91034267751
10404058340
11198098014
12b339a084
136593289a
143b93d820
1525715eca
hex181570e4

404058340 has 96 divisors (see below), whose sum is σ = 1009096704. Its totient is φ = 132986880.

The previous prime is 404058323. The next prime is 404058341. The reversal of 404058340 is 43850404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 404058299 and 404058308.

It is not an unprimeable number, because it can be changed into a prime (404058341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681084 + ... + 681676.

It is an arithmetic number, because the mean of its divisors is an integer number (10511424).

Almost surely, 2404058340 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 404058340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504548352).

404058340 is an abundant number, since it is smaller than the sum of its proper divisors (605038364).

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

404058340 is a wasteful number, since it uses less digits than its factorization.

404058340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 404058340 is about 20101.2024515948. The cubic root of 404058340 is about 739.2897616903.

The spelling of 404058340 in words is "four hundred four million, fifty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 157 217 310 314 434 593 620 628 785 868 1085 1099 1186 1570 2170 2198 2372 2965 3140 4151 4340 4396 4867 5495 5930 8302 9734 10990 11860 16604 18383 19468 20755 21980 24335 34069 36766 41510 48670 68138 73532 83020 91915 93101 97340 128681 136276 170345 183830 186202 257362 340690 367660 372404 465505 514724 643405 651707 681380 931010 1286810 1303414 1862020 2573620 2606828 2886131 3258535 5772262 6517070 11544524 13034140 14430655 20202917 28861310 40405834 57722620 80811668 101014585 202029170 404058340