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200144340 = 2232511271373
BaseRepresentation
bin10111110110111…
…11010111010100
3111221121101102100
423323133113110
5402214104330
631505442100
74650125124
oct1373372724
9457541370
10200144340
11a2a81450
1257040330
1332607c06
141c81cc84
1512887060
hexbedf5d4

200144340 has 144 divisors (see below), whose sum is σ = 666521856. Its totient is φ = 48211200.

The previous prime is 200144333. The next prime is 200144353. The reversal of 200144340 is 43441002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536394 + ... + 536766.

It is an arithmetic number, because the mean of its divisors is an integer number (4628624).

Almost surely, 2200144340 is an apocalyptic number.

200144340 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 200144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333260928).

200144340 is an abundant number, since it is smaller than the sum of its proper divisors (466377516).

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

200144340 is a wasteful number, since it uses less digits than its factorization.

200144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200144340 is about 14147.2378929599. The cubic root of 200144340 is about 584.9441980523.

Adding to 200144340 its reverse (43441002), we get a palindrome (243585342).

The spelling of 200144340 in words is "two hundred million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 271 330 373 396 495 542 660 746 813 990 1084 1119 1355 1492 1626 1865 1980 2238 2439 2710 2981 3252 3357 3730 4065 4103 4476 4878 5420 5595 5962 6714 7460 8130 8206 8943 9756 11190 11924 12195 12309 13428 14905 16260 16412 16785 17886 20515 22380 24390 24618 26829 29810 33570 35772 36927 41030 44715 48780 49236 53658 59620 61545 67140 73854 82060 89430 101083 107316 123090 134145 147708 178860 184635 202166 246180 268290 303249 369270 404332 505415 536580 606498 738540 909747 1010830 1111913 1212996 1516245 1819494 2021660 2223826 3032490 3335739 3638988 4447652 4548735 5559565 6064980 6671478 9097470 10007217 11119130 13342956 16678695 18194940 20014434 22238260 33357390 40028868 50036085 66714780 100072170 200144340