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34780080 = 2435144917
BaseRepresentation
bin1000010010101…
…1001110110000
32102110000022010
42010223032300
532400430310
63241242520
7601424436
oct204531660
972400263
1034780080
11186a5875
12b793440
13728993a
144894d56
1530c0320
hex212b3b0

34780080 has 40 divisors (see below), whose sum is σ = 107818992. Its totient is φ = 9274624.

The previous prime is 34780069. The next prime is 34780099. The reversal of 34780080 is 8008743.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72219 + ... + 72698.

Almost surely, 234780080 is an apocalyptic number.

34780080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34780080 is an abundant number, since it is smaller than the sum of its proper divisors (73038912).

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

34780080 is a wasteful number, since it uses less digits than its factorization.

34780080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144933 (or 144927 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 34780080 is about 5897.4638616951. The cubic root of 34780080 is about 326.4200739769.

The spelling of 34780080 in words is "thirty-four million, seven hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 144917 289834 434751 579668 724585 869502 1159336 1449170 1739004 2173755 2318672 2898340 3478008 4347510 5796680 6956016 8695020 11593360 17390040 34780080