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1344210030 = 232529618443
BaseRepresentation
bin101000000011111…
…0000010001101110
310110200100221111200
41100013300101232
510223104210110
6341215030330
745211411452
oct12007602156
93420327450
101344210030
1162a853989
1231620b3a6
13185646b67
14ca74c662
157d0246c0
hex501f046e

1344210030 has 96 divisors (see below), whose sum is σ = 3675166560. Its totient is φ = 340381440.

The previous prime is 1344210019. The next prime is 1344210071. The reversal of 1344210030 is 300124431.

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

It is a junction number, because it is equal to n+sod(n) for n = 1344209985 and 1344210012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154989 + ... + 163431.

It is an arithmetic number, because the mean of its divisors is an integer number (38282985).

Almost surely, 21344210030 is an apocalyptic number.

1344210030 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 1344210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837583280).

1344210030 is an abundant number, since it is smaller than the sum of its proper divisors (2330956530).

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

1344210030 is a wasteful number, since it uses less digits than its factorization.

1344210030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1344210030 is about 36663.4699667121. The cubic root of 1344210030 is about 1103.6271533563.

Adding to 1344210030 its reverse (300124431), we get a palindrome (1644334461).

The spelling of 1344210030 in words is "one billion, three hundred forty-four million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 61 87 90 122 145 174 183 261 290 305 366 435 522 549 610 870 915 1098 1305 1769 1830 2610 2745 3538 5307 5490 8443 8845 10614 15921 16886 17690 25329 26535 31842 42215 50658 53070 75987 79605 84430 126645 151974 159210 244847 253290 379935 489694 515023 734541 759870 1030046 1224235 1469082 1545069 2203623 2448470 2575115 3090138 3672705 4407246 4635207 5150230 7345410 7725345 9270414 11018115 14935667 15450690 22036230 23176035 29871334 44807001 46352070 74678335 89614002 134421003 149356670 224035005 268842006 448070010 672105015 1344210030