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34054505250 = 2353200322669
BaseRepresentation
bin11111101101110011…
…101000001100100010
310020220022120002222020
4133231303220030202
51024220423132000
623351110122310
72313621342603
oct375563501442
9106808502866
1034054505250
1113495975917
126724950396
13329938b72c
141910b09daa
15d44a68ba0
hex7edce8322

34054505250 has 64 divisors (see below), whose sum is σ = 85046232960. Its totient is φ = 9076267200.

The previous prime is 34054505209. The next prime is 34054505263. The reversal of 34054505250 is 5250545043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1490916 + ... + 1513584.

It is an arithmetic number, because the mean of its divisors is an integer number (1328847390).

Almost surely, 234054505250 is an apocalyptic number.

34054505250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34054505250 is an abundant number, since it is smaller than the sum of its proper divisors (50991727710).

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

34054505250 is a wasteful number, since it uses less digits than its factorization.

34054505250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24692 (or 24682 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 33.

The spelling of 34054505250 in words is "thirty-four billion, fifty-four million, five hundred five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 2003 4006 6009 10015 12018 20030 22669 30045 45338 50075 60090 68007 100150 113345 136014 150225 226690 250375 300450 340035 500750 566725 680070 751125 1133450 1502250 1700175 2833625 3400350 5667250 8500875 17001750 45406007 90812014 136218021 227030035 272436042 454060070 681090105 1135150175 1362180210 2270300350 3405450525 5675750875 6810901050 11351501750 17027252625 34054505250