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2323426040 = 2351317433607
BaseRepresentation
bin1000101001111100…
…1010101011111000
312222220221021100022
42022133022223320
514224244113130
61022315030012
7111401536565
oct21237125370
95886837308
102323426040
11a92571411
1254a13b308
132b0487b10
1418080986c
15d8e9c7e5
hex8a7caaf8

2323426040 has 128 divisors (see below), whose sum is σ = 5984616960. Its totient is φ = 804225024.

The previous prime is 2323426033. The next prime is 2323426043. The reversal of 2323426040 is 406243232.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323426043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3827417 + ... + 3828023.

It is an arithmetic number, because the mean of its divisors is an integer number (46754820).

Almost surely, 22323426040 is an apocalyptic number.

2323426040 is a gapful number since it is divisible by the number (20) 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 2323426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992308480).

2323426040 is an abundant number, since it is smaller than the sum of its proper divisors (3661190920).

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

2323426040 is a wasteful number, since it uses less digits than its factorization.

2323426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2323426040 is about 48201.9298368852. The cubic root of 2323426040 is about 1324.4725162732.

Adding to 2323426040 its reverse (406243232), we get a palindrome (2729669272).

The spelling of 2323426040 in words is "two billion, three hundred twenty-three million, four hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 433 442 520 607 680 866 884 1105 1214 1732 1768 2165 2210 2428 3035 3464 4330 4420 4856 5629 6070 7361 7891 8660 8840 10319 11258 12140 14722 15782 17320 20638 22516 24280 28145 29444 31564 36805 39455 41276 45032 51595 56290 58888 63128 73610 78910 82552 95693 103190 112580 134147 147220 157820 191386 206380 225160 262831 268294 294440 315640 382772 412760 478465 525662 536588 670735 765544 956930 1051324 1073176 1314155 1341470 1913860 2102648 2628310 2682940 3416803 3827720 4468127 5256620 5365880 6833606 8936254 10513240 13667212 17084015 17872508 22340635 27334424 34168030 35745016 44681270 58085651 68336060 89362540 116171302 136672120 178725080 232342604 290428255 464685208 580856510 1161713020 2323426040