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4306863440 = 2451131715439
BaseRepresentation
bin1000000001011010…
…11000010101010000
3102010011010022221202
410000231120111100
532310024112230
61551211010332
7211504510115
oct40055302520
912104108852
104306863440
111910126280
12a024399a8
13538383509
142cbdd290c
151a318ca45
hex100b58550

4306863440 has 80 divisors (see below), whose sum is σ = 10958941440. Its totient is φ = 1561090560.

The previous prime is 4306863439. The next prime is 4306863469. The reversal of 4306863440 is 443686034.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4306863394 and 4306863403.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 271241 + ... + 286679.

It is an arithmetic number, because the mean of its divisors is an integer number (136986768).

Almost surely, 24306863440 is an apocalyptic number.

4306863440 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 4306863440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479470720).

4306863440 is an abundant number, since it is smaller than the sum of its proper divisors (6652078000).

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

4306863440 is a wasteful number, since it uses less digits than its factorization.

4306863440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15780 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 4306863440 is about 65626.6976161379. The cubic root of 4306863440 is about 1626.9980553752.

The spelling of 4306863440 in words is "four billion, three hundred six million, eight hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 317 440 634 880 1268 1585 2536 3170 3487 5072 6340 6974 12680 13948 15439 17435 25360 27896 30878 34870 55792 61756 69740 77195 123512 139480 154390 169829 247024 278960 308780 339658 617560 679316 849145 1235120 1358632 1698290 2717264 3396580 4894163 6793160 9788326 13586320 19576652 24470815 39153304 48941630 53835793 78306608 97883260 107671586 195766520 215343172 269178965 391533040 430686344 538357930 861372688 1076715860 2153431720 4306863440