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400420300 = 225274353251
BaseRepresentation
bin10111110111011…
…110110111001100
31000220110110101111
4113313132313030
51310001422200
6103422221404
712631342060
oct2767366714
91026413344
10400420300
11196032775
12b2124864
1364c5a9b7
143b273aa0
15252480ba
hex17ddedcc

400420300 has 144 divisors (see below), whose sum is σ = 1039433472. Its totient is φ = 131040000.

The previous prime is 400420291. The next prime is 400420331. The reversal of 400420300 is 3024004.

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, 1595175 + ... + 1595425.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2400420300 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 400420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519716736).

400420300 is an abundant number, since it is smaller than the sum of its proper divisors (639013172).

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

400420300 is a wasteful number, since it uses less digits than its factorization.

400420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 400420300 is about 20010.5047412603. The cubic root of 400420300 is about 737.0642757995.

Adding to 400420300 its reverse (3024004), we get a palindrome (403444304).

The spelling of 400420300 in words is "four hundred million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 53 70 86 100 106 140 172 175 212 215 251 265 301 350 371 430 502 530 602 700 742 860 1004 1060 1075 1204 1255 1325 1484 1505 1757 1855 2150 2279 2510 2650 3010 3514 3710 4300 4558 5020 5300 6020 6275 7028 7420 7525 8785 9116 9275 10793 11395 12550 13303 15050 15953 17570 18550 21586 22790 25100 26606 30100 31906 35140 37100 43172 43925 45580 53212 53965 56975 63812 66515 75551 79765 87850 93121 107930 113950 133030 151102 159530 175700 186242 215860 227900 266060 269825 302204 319060 332575 372484 377755 398825 465605 539650 572029 665150 755510 797650 931210 1079300 1144058 1330300 1511020 1595300 1862420 1888775 2288116 2328025 2860145 3777550 4004203 4656050 5720290 7555100 8008406 9312100 11440580 14300725 16016812 20021015 28601450 40042030 57202900 80084060 100105075 200210150 400420300