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1210232340 = 223552271097
BaseRepresentation
bin100100000100010…
…1010111000010100
310010100021011200000
41020020222320110
54434304413330
6320031251300
741663543112
oct11010527024
93110234600
101210232340
11571165519
12299379b30
13163967a15
14b6a34ab2
15713ac560
hex4822ae14

1210232340 has 144 divisors (see below), whose sum is σ = 3827259072. Its totient is φ = 321014016.

The previous prime is 1210232339. The next prime is 1210232347. The reversal of 1210232340 is 432320121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210232347) 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 47 ways as a sum of consecutive naturals, for example, 1102672 + ... + 1103768.

It is an arithmetic number, because the mean of its divisors is an integer number (26578188).

Almost surely, 21210232340 is an apocalyptic number.

1210232340 is a gapful number since it is divisible by the number (10) 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 1210232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913629536).

1210232340 is an abundant number, since it is smaller than the sum of its proper divisors (2617026732).

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

1210232340 is a wasteful number, since it uses less digits than its factorization.

1210232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

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

The square root of 1210232340 is about 34788.3937542394. The cubic root of 1210232340 is about 1065.6704368159.

Adding to 1210232340 its reverse (432320121), we get a palindrome (1642552461).

The spelling of 1210232340 in words is "one billion, two hundred ten million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 227 243 270 324 405 454 486 540 681 810 908 972 1097 1135 1215 1362 1620 2043 2194 2270 2430 2724 3291 3405 4086 4388 4540 4860 5485 6129 6582 6810 8172 9873 10215 10970 12258 13164 13620 16455 18387 19746 20430 21940 24516 29619 30645 32910 36774 39492 40860 49365 55161 59238 61290 65820 73548 88857 91935 98730 110322 118476 122580 148095 177714 183870 197460 220644 249019 266571 275805 296190 355428 367740 444285 498038 533142 551610 592380 747057 888570 996076 1066284 1103220 1245095 1332855 1494114 1777140 2241171 2490190 2665710 2988228 3735285 4482342 4980380 5331420 6723513 7470570 8964684 11205855 13447026 14941140 20170539 22411710 26894052 33617565 40341078 44823420 60511617 67235130 80682156 100852695 121023234 134470260 201705390 242046468 302558085 403410780 605116170 1210232340