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1234031020 = 2251759227271
BaseRepresentation
bin100100110001101…
…1101000110101100
310012000001021022121
41021203131012230
510011402443040
6322241322324
742403043035
oct11143350654
93160037277
101234031020
1158363a852
122a53363a4
1316887b191
14b9c6ba8c
157350dc4a
hex498dd1ac

1234031020 has 96 divisors (see below), whose sum is σ = 2813045760. Its totient is φ = 453012480.

The previous prime is 1234031017. The next prime is 1234031021. The reversal of 1234031020 is 201304321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1234030985 and 1234031003.

It is not an unprimeable number, because it can be changed into a prime (1234031021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4553485 + ... + 4553755.

It is an arithmetic number, because the mean of its divisors is an integer number (29302560).

Almost surely, 21234031020 is an apocalyptic number.

1234031020 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 1234031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

1234031020 is an abundant number, since it is smaller than the sum of its proper divisors (1579014740).

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

1234031020 is a wasteful number, since it uses less digits than its factorization.

1234031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1234031020 is about 35128.7776616267. Note that the first 3 decimals coincide. The cubic root of 1234031020 is about 1072.6104544080.

Adding to 1234031020 its reverse (201304321), we get a palindrome (1435335341).

The spelling of 1234031020 in words is "one billion, two hundred thirty-four million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 227 236 271 295 340 454 542 590 908 1003 1084 1135 1180 1355 2006 2270 2710 3859 4012 4540 4607 5015 5420 7718 9214 10030 13393 15436 15989 18428 19295 20060 23035 26786 31978 38590 46070 53572 61517 63956 66965 77180 79945 92140 123034 133930 159890 227681 246068 267860 271813 307585 319780 455362 543626 615170 910724 1045789 1087252 1138405 1230340 1359065 2091578 2276810 2718130 3629503 4183156 4553620 5228945 5436260 7259006 10457890 14518012 18147515 20915780 36295030 61701551 72590060 123403102 246806204 308507755 617015510 1234031020