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404130300 = 223527533631
BaseRepresentation
bin11000000101101…
…000100111111100
31001011102221112220
4120011220213330
51311424132200
6104033525340
713005023310
oct3005504774
91034387486
10404130300
11198137092
12b3413850
1365959572
143b95bb40
152572c4a0
hex181689fc

404130300 has 144 divisors (see below), whose sum is σ = 1361912832. Its totient is φ = 90604800.

The previous prime is 404130289. The next prime is 404130319. The reversal of 404130300 is 3031404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 404130300.

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, 109485 + ... + 113115.

It is an arithmetic number, because the mean of its divisors is an integer number (9457728).

Almost surely, 2404130300 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 404130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680956416).

404130300 is an abundant number, since it is smaller than the sum of its proper divisors (957782532).

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

404130300 is a wasteful number, since it uses less digits than its factorization.

404130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 404130300 is about 20102.9923145784. The cubic root of 404130300 is about 739.3336465523. Note that the first 3 decimals are identical.

Adding to 404130300 its reverse (3031404), we get a palindrome (407161704).

The spelling of 404130300 in words is "four hundred four million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 53 60 70 75 84 100 105 106 140 150 159 175 210 212 265 300 318 350 371 420 525 530 636 700 742 795 1050 1060 1113 1325 1484 1590 1855 2100 2226 2650 3180 3631 3710 3975 4452 5300 5565 7262 7420 7950 9275 10893 11130 14524 15900 18155 18550 21786 22260 25417 27825 36310 37100 43572 50834 54465 55650 72620 76251 90775 101668 108930 111300 127085 152502 181550 192443 217860 254170 272325 305004 363100 381255 384886 508340 544650 577329 635425 762510 769772 962215 1089300 1154658 1270850 1347101 1525020 1906275 1924430 2309316 2541700 2694202 2886645 3812550 3848860 4041303 4811075 5388404 5773290 6735505 7625100 8082606 9622150 11546580 13471010 14433225 16165212 19244300 20206515 26942020 28866450 33677525 40413030 57732900 67355050 80826060 101032575 134710100 202065150 404130300