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1344310002 = 232721997827
BaseRepresentation
bin101000000100000…
…1000101011110010
310110200120000122100
41100020020223302
510223120410002
6341221121230
745212306100
oct12010105362
93420500570
101344310002
1162a912002
12316259216
13185680509
14ca776c70
157d04411c
hex50208af2

1344310002 has 144 divisors (see below), whose sum is σ = 3607662240. Its totient is φ = 359686656.

The previous prime is 1344310001. The next prime is 1344310007. The reversal of 1344310002 is 2000134431.

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

It is not an unprimeable number, because it can be changed into a prime (1344310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1625113 + ... + 1625939.

It is an arithmetic number, because the mean of its divisors is an integer number (25053210).

Almost surely, 21344310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803831120).

1344310002 is an abundant number, since it is smaller than the sum of its proper divisors (2263352238).

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

1344310002 is a wasteful number, since it uses less digits than its factorization.

1344310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 955 counting only the distinct ones).

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

The square root of 1344310002 is about 36664.8333147718. The cubic root of 1344310002 is about 1103.6545124436.

Adding to 1344310002 its reverse (2000134431), we get a palindrome (3344444433).

The spelling of 1344310002 in words is "one billion, three hundred forty-four million, three hundred ten thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 97 98 114 126 133 147 171 194 266 291 294 342 399 441 582 679 798 827 873 882 931 1197 1358 1654 1746 1843 1862 2037 2394 2481 2793 3686 4074 4753 4962 5529 5586 5789 6111 7443 8379 9506 11058 11578 12222 12901 14259 14886 15713 16587 16758 17367 25802 28518 31426 33174 34734 38703 40523 42777 47139 52101 77406 80219 81046 85554 90307 94278 104202 109991 116109 121569 141417 160438 180614 219982 232218 240657 243138 270921 282834 329973 364707 481314 541842 561533 659946 721971 729414 769937 812763 989919 1123066 1443942 1524161 1539874 1625526 1684599 1979838 2309811 3048322 3369198 3930731 4572483 4619622 5053797 6929433 7861462 9144966 10107594 10669127 11792193 13717449 13858866 21338254 23584386 27434898 32007381 35376579 64014762 70753158 74683889 96022143 149367778 192044286 224051667 448103334 672155001 1344310002