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4303424040 = 2335535471237
BaseRepresentation
bin1000000001000000…
…10000101000101000
3102002220122120222120
410000200100220220
532303134032130
61551005151240
7211433333526
oct40040205050
912086576876
104303424040
1119091971a3
12a0125b520
1353774ab76
142cb779316
151a2c0d910
hex100810a28

4303424040 has 128 divisors (see below), whose sum is σ = 13188562560. Its totient is φ = 1122960384.

The previous prime is 4303424029. The next prime is 4303424077. The reversal of 4303424040 is 404243034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4303424040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3478302 + ... + 3479538.

It is an arithmetic number, because the mean of its divisors is an integer number (103035645).

Almost surely, 24303424040 is an apocalyptic number.

4303424040 is a gapful number since it is divisible by the number (40) 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 4303424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594281280).

4303424040 is an abundant number, since it is smaller than the sum of its proper divisors (8885138520).

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

4303424040 is a wasteful number, since it uses less digits than its factorization.

4303424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4303424040 is about 65600.4881079402. The cubic root of 4303424040 is about 1626.5648408520.

Adding to 4303424040 its reverse (404243034), we get a palindrome (4707667074).

The spelling of 4303424040 in words is "four billion, three hundred three million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 547 636 795 1060 1094 1237 1272 1590 1641 2120 2188 2474 2735 3180 3282 3711 4376 4948 5470 6185 6360 6564 7422 8205 9896 10940 12370 13128 14844 16410 18555 21880 24740 28991 29688 32820 37110 49480 57982 65561 65640 74220 86973 115964 131122 144955 148440 173946 196683 231928 262244 289910 327805 347892 393366 434865 524488 579820 655610 676639 695784 786732 869730 983415 1159640 1311220 1353278 1573464 1739460 1966830 2029917 2622440 2706556 3383195 3478920 3933660 4059834 5413112 6766390 7867320 8119668 10149585 13532780 16239336 20299170 27065560 35861867 40598340 71723734 81196680 107585601 143447468 179309335 215171202 286894936 358618670 430342404 537928005 717237340 860684808 1075856010 1434474680 2151712020 4303424040