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634023320436 = 2232111984266789
BaseRepresentation
bin10010011100111101011…
…11000001101101110100
32020121112011201210221100
421032132233001231310
540341434432223221
61203133304050100
763543455206032
oct11163657015564
92217464653840
10634023320436
112249846a9840
12a2a65163930
1347a3271a88c
1422988b93552
151175bcc6926
hex939ebc1b74

634023320436 has 72 divisors (see below), whose sum is σ = 1840386693600. Its totient is φ = 182016262080.

The previous prime is 634023320347. The next prime is 634023320459.

634023320436 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 634023320436.

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, 42125871 + ... + 42140918.

It is an arithmetic number, because the mean of its divisors is an integer number (25560926300).

Almost surely, 2634023320436 is an apocalyptic number.

634023320436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

634023320436 is an abundant number, since it is smaller than the sum of its proper divisors (1206363373164).

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

634023320436 is a wasteful number, since it uses less digits than its factorization.

634023320436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84266829 (or 84266824 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 634023 and 320436, that added together give a palindrome (954459).

The spelling of 634023320436 in words is "six hundred thirty-four billion, twenty-three million, three hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 84266789 168533578 252800367 337067156 505600734 758401101 926934679 1011201468 1516802202 1601068991 1853869358 2780804037 3033604404 3202137982 3707738716 4803206973 5561608074 6404275964 8342412111 9606413946 11123216148 14409620919 16684824222 17611758901 19212827892 28819241838 33369648444 35223517802 52835276703 57638483676 70447035604 105670553406 158505830109 211341106812 317011660218 634023320436