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2423328400 = 245219419761
BaseRepresentation
bin1001000001110001…
…0000111010010000
320020212220211121201
42100130100322100
514430333002100
61040244200544
7114023644243
oct22034207220
96225824551
102423328400
1110339a6549
12577699154
132c809603c
1418dbb325a
15e2b3336a
hex90710e90

2423328400 has 120 divisors (see below), whose sum is σ = 6151168800. Its totient is φ = 914918400.

The previous prime is 2423328389. The next prime is 2423328433. The reversal of 2423328400 is 48233242.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3184020 + ... + 3184780.

It is an arithmetic number, because the mean of its divisors is an integer number (51259740).

Almost surely, 22423328400 is an apocalyptic number.

2423328400 is a gapful number since it is divisible by the number (20) 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 2423328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075584400).

2423328400 is an abundant number, since it is smaller than the sum of its proper divisors (3727840400).

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

2423328400 is a wasteful number, since it uses less digits than its factorization.

2423328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2423328400 is about 49227.3135566019. The cubic root of 2423328400 is about 1343.1899201135.

The spelling of 2423328400 in words is "two billion, four hundred twenty-three million, three hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 419 475 760 761 838 950 1520 1522 1676 1900 2095 3044 3352 3800 3805 4190 6088 6704 7600 7610 7961 8380 10475 12176 14459 15220 15922 16760 19025 20950 28918 30440 31844 33520 38050 39805 41900 57836 60880 63688 72295 76100 79610 83800 115672 127376 144590 152200 159220 167600 199025 231344 289180 304400 318440 318859 361475 398050 578360 636880 637718 722950 796100 1156720 1275436 1445900 1592200 1594295 2550872 2891800 3184400 3188590 5101744 5783600 6058321 6377180 7971475 12116642 12754360 15942950 24233284 25508720 30291605 31885900 48466568 60583210 63771800 96933136 121166420 127543600 151458025 242332840 302916050 484665680 605832100 1211664200 2423328400