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1020231344 = 241125361163
BaseRepresentation
bin111100110011110…
…111111010110000
32122002202010022002
4330303313322300
54042134400334
6245123033132
734165552256
oct7463677260
92562663262
101020231344
11483991a00
1224580b7a8
131334a19b2
14996d65d6
155e87ab7e
hex3ccf7eb0

1020231344 has 120 divisors (see below), whose sum is σ = 2263823856. Its totient is φ = 444787200.

The previous prime is 1020231323. The next prime is 1020231347. The reversal of 1020231344 is 4431320201.

It is not an unprimeable number, because it can be changed into a prime (1020231347) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6259007 + ... + 6259169.

Almost surely, 21020231344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131911928).

1020231344 is an abundant number, since it is smaller than the sum of its proper divisors (1243592512).

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

1020231344 is a wasteful number, since it uses less digits than its factorization.

1020231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1020231344 is about 31941.0604708109. The cubic root of 1020231344 is about 1006.6988071158.

Adding to 1020231344 its reverse (4431320201), we get a palindrome (5451551545).

The spelling of 1020231344 in words is "one billion, twenty million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 61 88 106 121 122 163 176 212 242 244 326 424 484 488 583 652 671 848 968 976 1166 1304 1342 1793 1936 2332 2608 2684 3233 3586 4664 5368 6413 6466 7172 7381 8639 9328 9943 10736 12826 12932 14344 14762 17278 19723 19886 25652 25864 28688 29524 34556 35563 39446 39772 51304 51728 59048 69112 71126 78892 79544 95029 102608 109373 118096 138224 142252 157784 159088 190058 218746 284504 315568 380116 391193 437492 526979 569008 760232 782386 874984 1045319 1053958 1203103 1520464 1564772 1749968 2090638 2107916 2406206 3129544 4181276 4215832 4812412 5796769 6259088 8362552 8431664 9624824 11593538 16725104 19249648 23187076 46374152 63764459 92748304 127528918 255057836 510115672 1020231344