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1340103030 = 2357173112109
BaseRepresentation
bin100111111100000…
…0101100101110110
310110101122021202120
41033320011211312
510221031244110
6340551020410
745131454630
oct11770054566
93411567676
101340103030
116284a9272
1231496a706
13184839696
14c9d9da50
157c9b2870
hex4fe05976

1340103030 has 128 divisors (see below), whose sum is σ = 4017807360. Its totient is φ = 278968320.

The previous prime is 1340102987. The next prime is 1340103059. The reversal of 1340103030 is 303010431.

It is a super-2 number, since 2×13401030302 = 3591752262030361800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 104616 + ... + 116724.

It is an arithmetic number, because the mean of its divisors is an integer number (31389120).

Almost surely, 21340103030 is an apocalyptic number.

1340103030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008903680).

1340103030 is an abundant number, since it is smaller than the sum of its proper divisors (2677704330).

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

1340103030 is a wasteful number, since it uses less digits than its factorization.

1340103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1340103030 is about 36607.4176909544. The cubic root of 1340103030 is about 1102.5020264153.

Adding to 1340103030 its reverse (303010431), we get a palindrome (1643113461).

The spelling of 1340103030 in words is "one billion, three hundred forty million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 31 34 35 42 51 62 70 85 93 102 105 119 155 170 186 210 217 238 255 310 357 434 465 510 527 595 651 714 930 1054 1085 1190 1302 1581 1785 2170 2635 3162 3255 3570 3689 5270 6510 7378 7905 11067 12109 15810 18445 22134 24218 36327 36890 55335 60545 72654 84763 110670 121090 169526 181635 205853 254289 363270 375379 411706 423815 508578 617559 750758 847630 1029265 1126137 1235118 1271445 1440971 1876895 2058530 2252274 2542890 2627653 2881942 3087795 3753790 4322913 5255306 5630685 6175590 6381443 7204855 7882959 8645826 11261370 12762886 13138265 14409710 15765918 19144329 21614565 26276530 31907215 38288658 39414795 43229130 44670101 63814430 78829590 89340202 95721645 134010303 191443290 223350505 268020606 446701010 670051515 1340103030