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34413240540 = 22357229735671
BaseRepresentation
bin100000000011001100…
…000110000011011100
310021211022120202021110
4200003030012003130
51030434242144130
623450443102020
72325535501230
oct400314060334
9107738522243
1034413240540
111365a416a68
126804b11910
1333257b2933
14194660c5c0
15d662caab0
hex8033060dc

34413240540 has 96 divisors (see below), whose sum is σ = 110173400064. Its totient is φ = 7862238720.

The previous prime is 34413240509. The next prime is 34413240577. The reversal of 34413240540 is 4504231443.

It is a super-2 number, since 2×344132405402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34413240498 and 34413240507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946905 + ... + 982575.

It is an arithmetic number, because the mean of its divisors is an integer number (1147639584).

Almost surely, 234413240540 is an apocalyptic number.

34413240540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34413240540 is an abundant number, since it is smaller than the sum of its proper divisors (75760159524).

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

34413240540 is a wasteful number, since it uses less digits than its factorization.

34413240540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37987 (or 37985 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34413240540 its reverse (4504231443), we get a palindrome (38917471983).

The spelling of 34413240540 in words is "thirty-four billion, four hundred thirteen million, two hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2297 4594 6891 9188 11485 13782 16079 22970 27564 32158 34455 35671 45940 48237 64316 68910 71342 80395 96474 107013 137820 142684 160790 178355 192948 214026 241185 249697 321580 356710 428052 482370 499394 535065 713420 749091 964740 998788 1070130 1248485 1498182 2140260 2496970 2996364 3745455 4993940 7490910 14981820 81936287 163872574 245808861 327745148 409681435 491617722 573554009 819362870 983235444 1147108018 1229044305 1638725740 1720662027 2294216036 2458088610 2867770045 3441324054 4916177220 5735540090 6882648108 8603310135 11471080180 17206620270 34413240540