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1000241034 = 2313261103157
BaseRepresentation
bin111011100111100…
…111011110001010
32120201010111202020
4323213213132022
54022030203114
6243130345310
733533623422
oct7347473612
92521114666
101000241034
11473678991
1223ab8b236
1312c2c2b00
1496bb1482
155cc2caa9
hex3b9e778a

1000241034 has 96 divisors (see below), whose sum is σ = 2237249664. Its totient is φ = 297872640.

The previous prime is 1000241027. The next prime is 1000241093. The reversal of 1000241034 is 4301420001.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6370884 + ... + 6371040.

It is an arithmetic number, because the mean of its divisors is an integer number (23304684).

Almost surely, 21000241034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000241034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118624832).

1000241034 is an abundant number, since it is smaller than the sum of its proper divisors (1237008630).

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

1000241034 is a wasteful number, since it uses less digits than its factorization.

1000241034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1000241034 is about 31626.5874542291. The cubic root of 1000241034 is about 1000.0803382123.

Adding to 1000241034 its reverse (4301420001), we get a palindrome (5301661035).

The spelling of 1000241034 in words is "one billion, two hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 61 78 103 122 157 169 183 206 309 314 338 366 471 507 618 793 942 1014 1339 1586 2041 2379 2678 4017 4082 4758 6123 6283 8034 9577 10309 12246 12566 16171 17407 18849 19154 20618 26533 28731 30927 32342 34814 37698 48513 52221 53066 57462 61854 79599 81679 97026 104442 124501 159198 163358 210223 245037 249002 373503 420446 490074 630669 747006 986431 1061827 1261338 1618513 1972862 2123654 2732899 2959293 3185481 3237026 4855539 5465798 5918586 6370962 8198697 9711078 12823603 16397394 25647206 38470809 76941618 166706839 333413678 500120517 1000241034