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340140501200 = 24522943376761
BaseRepresentation
bin1001111001100011111…
…01000010100011010000
31012111221222100202122202
410330301331002203100
521033101432014300
6420131451222332
733400666361543
oct4746175024320
91174858322582
10340140501200
11121286499a35
1255b084479a8
13260c9035676
141266a24485a
158cab69aad5
hex4f31f428d0

340140501200 has 120 divisors (see below), whose sum is σ = 845686419480. Its totient is φ = 131314892800.

The previous prime is 340140501139. The next prime is 340140501241. The reversal of 340140501200 is 2105041043.

It can be written as a sum of positive squares in 12 ways, for example, as 141791408704 + 198349092496 = 376552^2 + 445364^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50305820 + ... + 50312580.

It is an arithmetic number, because the mean of its divisors is an integer number (7047386829).

Almost surely, 2340140501200 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 340140501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422843209740).

340140501200 is an abundant number, since it is smaller than the sum of its proper divisors (505545918280).

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

340140501200 is a wasteful number, since it uses less digits than its factorization.

340140501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 340140501200 its reverse (2105041043), we get a palindrome (342245542243).

The spelling of 340140501200 in words is "three hundred forty billion, one hundred forty million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 4337 5800 6761 8674 11600 13522 17348 21685 27044 33805 34696 43370 54088 67610 69392 86740 108176 108425 125773 135220 169025 173480 196069 216850 251546 270440 338050 346960 392138 433700 503092 540880 628865 676100 784276 867400 980345 1006184 1257730 1352200 1568552 1734800 1960690 2012368 2515460 2704400 3137104 3144325 3921380 4901725 5030920 6288650 7842760 9803450 10061840 12577300 15685520 19606900 25154600 29322457 39213800 50309200 58644914 78427600 117289828 146612285 234579656 293224570 469159312 586449140 733061425 850351253 1172898280 1466122850 1700702506 2345796560 2932245700 3401405012 4251756265 5864491400 6802810024 8503512530 11728982800 13605620048 17007025060 21258781325 34014050120 42517562650 68028100240 85035125300 170070250600 340140501200