Search a number
-
+
302000300400 = 24352435852719
BaseRepresentation
bin1000110010100001001…
…11101110000101110000
31001212111220211211001010
410121100213232011300
514421444034103100
6350423110310520
730550564125051
oct4312047560560
91055456754033
10302000300400
11107094329627
124a643358440
132262b37c906
141088ca78728
157cc80d0750
hex46509ee170

302000300400 has 120 divisors (see below), whose sum is σ = 989905649920. Its totient is φ = 78660529920.

The previous prime is 302000300359. The next prime is 302000300447. The reversal of 302000300400 is 4003000203.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874760 + ... + 2977959.

Almost surely, 2302000300400 is an apocalyptic number.

302000300400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

302000300400 is an abundant number, since it is smaller than the sum of its proper divisors (687905349520).

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

302000300400 is a wasteful number, since it uses less digits than its factorization.

302000300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852783 (or 5852772 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 302000300400 its reverse (4003000203), we get a palindrome (306003300603).

The spelling of 302000300400 in words is "three hundred two billion, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 51600 5852719 11705438 17558157 23410876 29263595 35116314 46821752 58527190 70232628 87790785 93643504 117054380 140465256 146317975 175581570 234108760 251666917 280930512 292635950 351163140 438953925 468217520 503333834 585271900 702326280 755000751 877907850 1006667668 1170543800 1258334585 1404652560 1510001502 1755815700 2013335336 2341087600 2516669170 3020003004 3511631400 3775003755 4026670672 5033338340 6040006008 6291672925 7023262800 7550007510 10066676680 12080012016 12583345850 15100015020 18875018775 20133353360 25166691700 30200030040 37750037550 50333383400 60400060080 75500075100 100666766800 151000150200 302000300400