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1340025300 = 2232523740241
BaseRepresentation
bin100111111011111…
…0010100111010100
310110101111100010200
41033313302213110
510221021302200
6340545220500
745131012205
oct11767624724
93411440120
101340025300
11628455929
12314931730
131848101a3
14c9d7d5ac
157c999800
hex4fdf29d4

1340025300 has 108 divisors (see below), whose sum is σ = 4313861916. Its totient is φ = 347673600.

The previous prime is 1340025283. The next prime is 1340025329. The reversal of 1340025300 is 35200431.

1340025300 is a `hidden beast` number, since 1 + 340 + 0 + 25 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37970244 + 1302055056 = 6162^2 + 36084^2 .

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 35 ways as a sum of consecutive naturals, for example, 13180 + ... + 53420.

Almost surely, 21340025300 is an apocalyptic number.

1340025300 is a gapful number since it is divisible by the number (10) 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 1340025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156930958).

1340025300 is an abundant number, since it is smaller than the sum of its proper divisors (2973836616).

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

1340025300 is a wasteful number, since it uses less digits than its factorization.

1340025300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40298 (or 40288 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1340025300 is about 36606.3560054808. The cubic root of 1340025300 is about 1102.4807098604.

Adding to 1340025300 its reverse (35200431), we get a palindrome (1375225731).

The spelling of 1340025300 in words is "one billion, three hundred forty million, twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 40241 80482 120723 160964 201205 241446 362169 402410 482892 603615 724338 804820 1006025 1207230 1448676 1488917 1810845 2012050 2414460 2977834 3018075 3621690 4024100 4466751 5955668 6036150 7243380 7444585 8933502 9054225 12072300 13400253 14889170 17867004 18108450 22333755 26800506 29778340 36216900 37222925 44667510 53601012 67001265 74445850 89335020 111668775 134002530 148891700 223337550 268005060 335006325 446675100 670012650 1340025300