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64340880 = 24352271181
BaseRepresentation
bin1111010101110…
…0001110010000
311111001212002120
43311130032100
5112432402010
610215014240
71410613512
oct365341620
9144055076
1064340880
113335628a
121966a380
1310439a36
14878bbb2
1559ade70
hex3d5c390

64340880 has 80 divisors (see below), whose sum is σ = 200505024. Its totient is φ = 17067520.

The previous prime is 64340873. The next prime is 64340893. The reversal of 64340880 is 8804346.

64340880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53890 + ... + 55070.

Almost surely, 264340880 is an apocalyptic number.

64340880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100252512).

64340880 is an abundant number, since it is smaller than the sum of its proper divisors (136164144).

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

64340880 is a wasteful number, since it uses less digits than its factorization.

64340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 64340880 is about 8021.2767063604. The cubic root of 64340880 is about 400.7089095426.

The spelling of 64340880 in words is "sixty-four million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1181 1362 1816 2270 2362 2724 3405 3543 3632 4540 4724 5448 5905 6810 7086 9080 9448 10896 11810 13620 14172 17715 18160 18896 23620 27240 28344 35430 47240 54480 56688 70860 94480 141720 268087 283440 536174 804261 1072348 1340435 1608522 2144696 2680870 3217044 4021305 4289392 5361740 6434088 8042610 10723480 12868176 16085220 21446960 32170440 64340880