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304304011400 = 235219223318089
BaseRepresentation
bin1000110110110011110…
…11101011100010001000
31002002110110200110102202
410123121323223202020
514441203311331100
6351443443015332
730661636263464
oct4333173534210
91062413613382
10304304011400
11108066754814
124ab8696a548
1322907723c0c
1410a2a9d14a4
157db04867d5
hex46d9eeb888

304304011400 has 144 divisors (see below), whose sum is σ = 749950074900. Its totient is φ = 114813941760.

The previous prime is 304304011391. The next prime is 304304011433. The reversal of 304304011400 is 4110403403.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 134719829764 + 169584181636 = 367042^2 + 411806^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16813556 + ... + 16831644.

Almost surely, 2304304011400 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 304304011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374975037450).

304304011400 is an abundant number, since it is smaller than the sum of its proper divisors (445646063500).

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

304304011400 is a wasteful number, since it uses less digits than its factorization.

304304011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18376 (or 18348 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 304304011400 its reverse (4110403403), we get a palindrome (308414414803).

The spelling of 304304011400 in words is "three hundred four billion, three hundred four million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 233 361 380 466 475 722 760 932 950 1165 1444 1805 1864 1900 2330 2888 3610 3800 4427 4660 5825 7220 8854 9025 9320 11650 14440 17708 18050 18089 22135 23300 35416 36100 36178 44270 46600 72200 72356 84113 88540 90445 110675 144712 168226 177080 180890 221350 336452 343691 361780 420565 442700 452225 672904 687382 723560 841130 885400 904450 1374764 1682260 1718455 1808900 2102825 2749528 3364520 3436910 3617800 4205650 4214737 6530129 6873820 8411300 8429474 8592275 13060258 13747640 16822600 16858948 17184550 21073685 26120516 32650645 33717896 34369100 42147370 52241032 65301290 68738200 80080003 84294740 105368425 130602580 160160006 163253225 168589480 210736850 261205160 320320012 326506450 400400015 421473700 640640024 653012900 800800030 842947400 1306025800 1521520057 1601600060 2002000075 3043040114 3203200120 4004000150 6086080228 7607600285 8008000300 12172160456 15215200570 16016000600 30430401140 38038001425 60860802280 76076002850 152152005700 304304011400