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1341222240 = 25355352721
BaseRepresentation
bin100111111110001…
…0110110101100000
310110110202011000210
41033330112311200
510221323102430
6341031014120
745144125631
oct11774266540
93413664023
101341222240
116290a3136
1231520a340
13184b3bc37
14ca1b1888
157cb342b0
hex4ff16d60

1341222240 has 96 divisors (see below), whose sum is σ = 4304645856. Its totient is φ = 350904320.

The previous prime is 1341222229. The next prime is 1341222241. The reversal of 1341222240 is 422221431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341222241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921 + ... + 51800.

It is an arithmetic number, because the mean of its divisors is an integer number (44840061).

Almost surely, 21341222240 is an apocalyptic number.

1341222240 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 1341222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152322928).

1341222240 is an abundant number, since it is smaller than the sum of its proper divisors (2963423616).

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

1341222240 is a wasteful number, since it uses less digits than its factorization.

1341222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52792 (or 52784 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1341222240 is about 36622.7011565231. The cubic root of 1341222240 is about 1102.8088654945.

Adding to 1341222240 its reverse (422221431), we get a palindrome (1763443671).

The spelling of 1341222240 in words is "one billion, three hundred forty-one million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 25440 52721 105442 158163 210884 263605 316326 421768 527210 632652 790815 843536 1054420 1265304 1581630 1687072 2108840 2530608 2794213 3163260 4217680 5061216 5588426 6326520 8382639 8435360 11176852 12653040 13971065 16765278 22353704 25306080 27942130 33530556 41913195 44707408 55884260 67061112 83826390 89414816 111768520 134122224 167652780 223537040 268244448 335305560 447074080 670611120 1341222240