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34434371040 = 253571738273
BaseRepresentation
bin100000000100011100…
…101100110111100000
310021212210100021212120
4200010130230313200
51031010144333130
623452520024240
72326213216206
oct400434546740
9107783307776
1034434371040
1113670339693
126810002080
133329ca07a4
14194934d076
15d680a1910
hex80472cde0

34434371040 has 48 divisors (see below), whose sum is σ = 108468270288. Its totient is φ = 9182498816.

The previous prime is 34434371039. The next prime is 34434371077. The reversal of 34434371040 is 4017343443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 34434370992 and 34434371010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35868657 + ... + 35869616.

It is an arithmetic number, because the mean of its divisors is an integer number (2259755631).

Almost surely, 234434371040 is an apocalyptic number.

34434371040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34434371040 is an abundant number, since it is smaller than the sum of its proper divisors (74033899248).

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

34434371040 is a wasteful number, since it uses less digits than its factorization.

34434371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71738291 (or 71738283 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 34434371040 in words is "thirty-four billion, four hundred thirty-four million, three hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 71738273 143476546 215214819 286953092 358691365 430429638 573906184 717382730 860859276 1076074095 1147812368 1434765460 1721718552 2152148190 2295624736 2869530920 3443437104 4304296380 5739061840 6886874208 8608592760 11478123680 17217185520 34434371040