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4306010040 = 2332529340823
BaseRepresentation
bin1000000001010100…
…00111111110111000
3102010002111222022100
410000222013332320
532304314310130
61551140423400
7211464324063
oct40052077670
912102458270
104306010040
11190a6a3092
12a020a7b60
13538144c47
142cbc4d8da
151a306ec60
hex100a87fb8

4306010040 has 96 divisors (see below), whose sum is σ = 14042639520. Its totient is φ = 1144322304.

The previous prime is 4306010017. The next prime is 4306010101. The reversal of 4306010040 is 400106034.

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

It is a junction number, because it is equal to n+sod(n) for n = 4306009995 and 4306010022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85069 + ... + 125891.

It is an arithmetic number, because the mean of its divisors is an integer number (146277495).

Almost surely, 24306010040 is an apocalyptic number.

4306010040 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 4306010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021319760).

4306010040 is an abundant number, since it is smaller than the sum of its proper divisors (9736629480).

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

4306010040 is a wasteful number, since it uses less digits than its factorization.

4306010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41133 (or 41126 counting only the distinct ones).

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

The square root of 4306010040 is about 65620.1953669752. The cubic root of 4306010040 is about 1626.8905856834.

Adding to 4306010040 its reverse (400106034), we get a palindrome (4706116074).

The spelling of 4306010040 in words is "four billion, three hundred six million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 293 360 586 879 1172 1465 1758 2344 2637 2930 3516 4395 5274 5860 7032 8790 10548 11720 13185 17580 21096 26370 35160 40823 52740 81646 105480 122469 163292 204115 244938 326584 367407 408230 489876 612345 734814 816460 979752 1224690 1469628 1632920 1837035 2449380 2939256 3674070 4898760 7348140 11961139 14696280 23922278 35883417 47844556 59805695 71766834 95689112 107650251 119611390 143533668 179417085 215300502 239222780 287067336 358834170 430601004 478445560 538251255 717668340 861202008 1076502510 1435336680 2153005020 4306010040