Search a number
-
+
10343302032 = 2437234728477
BaseRepresentation
bin10011010001000001…
…00100001110010000
3222200211202011222110
421220200210032100
5132140341131112
64430204505320
7514213421340
oct115040441620
928624664873
1010343302032
1144285849a8
122007b4b240
13c8ab69a7b
147019a8d20
154080c213c
hex268824390

10343302032 has 160 divisors (see below), whose sum is σ = 32544202752. Its totient is φ = 2766500352.

The previous prime is 10343302007. The next prime is 10343302033. The reversal of 10343302032 is 23020334301.

It is a super-3 number, since 3×103433020323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10343302033) 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 31 ways as a sum of consecutive naturals, for example, 348978 + ... + 377454.

Almost surely, 210343302032 is an apocalyptic number.

10343302032 is a gapful number since it is divisible by the number (12) 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 10343302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272101376).

10343302032 is an abundant number, since it is smaller than the sum of its proper divisors (22200900720).

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

10343302032 is a wasteful number, since it uses less digits than its factorization.

10343302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28565 (or 28559 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 10343302032 its reverse (23020334301), we get a palindrome (33363636333).

The spelling of 10343302032 in words is "ten billion, three hundred forty-three million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 47 48 56 69 84 92 94 112 138 141 161 168 184 188 276 282 322 329 336 368 376 483 552 564 644 658 752 966 987 1081 1104 1128 1288 1316 1932 1974 2162 2256 2576 2632 3243 3864 3948 4324 5264 6486 7567 7728 7896 8648 12972 15134 15792 17296 22701 25944 28477 30268 45402 51888 56954 60536 85431 90804 113908 121072 170862 181608 199339 227816 341724 363216 398678 455632 598017 654971 683448 797356 1196034 1309942 1338419 1366896 1594712 1964913 2392068 2619884 2676838 3189424 3929826 4015257 4584797 4784136 5239768 5353676 7859652 8030514 9169594 9368933 9568272 10479536 10707352 13754391 15719304 16061028 18339188 18737866 21414704 27508782 28106799 30783637 31438608 32122056 36678376 37475732 55017564 56213598 61567274 64244112 73356752 74951464 92350911 110035128 112427196 123134548 149902928 184701822 215485459 220070256 224854392 246269096 369403644 430970918 449708784 492538192 646456377 738807288 861941836 1292912754 1477614576 1723883672 2585825508 3447767344 5171651016 10343302032