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34543391040 = 2632511994233
BaseRepresentation
bin100000001010111100…
…100101000101000000
310022011101111002012100
4200022330211011000
51031221102003130
623511412430400
72332005656604
oct401274450500
9108141432170
1034543391040
1113716930a64
126840618400
133346751a72
141959a0b504
15d72938c60
hex80af25140

34543391040 has 84 divisors (see below), whose sum is σ = 118814882004. Its totient is φ = 9211570176.

The previous prime is 34543390993. The next prime is 34543391089. The reversal of 34543391040 is 4019334543.

34543391040 is a `hidden beast` number, since 3 + 4 + 543 + 3 + 9 + 104 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23320954944 + 11222436096 = 152712^2 + 105936^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34543390986 and 34543391004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5994237 + ... + 5999996.

It is an arithmetic number, because the mean of its divisors is an integer number (1414462881).

Almost surely, 234543391040 is an apocalyptic number.

34543391040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34543391040 is an abundant number, since it is smaller than the sum of its proper divisors (84271490964).

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

34543391040 is a wasteful number, since it uses less digits than its factorization.

34543391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11994256 (or 11994243 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34543391040 in words is "thirty-four billion, five hundred forty-three million, three hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 11994233 23988466 35982699 47976932 59971165 71965398 95953864 107948097 119942330 143930796 179913495 191907728 215896194 239884660 287861592 359826990 383815456 431792388 479769320 539740485 575723184 719653980 767630912 863584776 959538640 1079480970 1151446368 1439307960 1727169552 1919077280 2158961940 2302892736 2878615920 3454339104 3838154560 4317923880 5757231840 6908678208 8635847760 11514463680 17271695520 34543391040