Search a number
-
+
73334007340 = 225113110752787
BaseRepresentation
bin100010001001100001…
…1000010011000101100
321000021202212120010221
41010103003002120230
52200142001213330
653404510141124
75204166530446
oct1042303023054
9230252776127
1073334007340
1129112154140
12122674b17a4
136bb90a5969
143799725496
151d9317eb7a
hex11130c262c

73334007340 has 48 divisors (see below), whose sum is σ = 173420964864. Its totient is φ = 25806686400.

The previous prime is 73334007287. The next prime is 73334007347. The reversal of 73334007340 is 4370043337.

It is a super-3 number, since 3×733340073403 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73334007296 and 73334007305.

It is not an unprimeable number, because it can be changed into a prime (73334007347) by changing a digit.

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, 5369574 + ... + 5383213.

It is an arithmetic number, because the mean of its divisors is an integer number (3612936768).

Almost surely, 273334007340 is an apocalyptic number.

It is an amenable number.

73334007340 is an abundant number, since it is smaller than the sum of its proper divisors (100086957524).

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

73334007340 is a wasteful number, since it uses less digits than its factorization.

73334007340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752838 (or 10752836 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 34.

The spelling of 73334007340 in words is "seventy-three billion, three hundred thirty-four million, seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 10752787 21505574 43011148 53763935 107527870 118280657 215055740 236561314 333336397 473122628 591403285 666672794 1182806570 1333345588 1666681985 2365613140 3333363970 3666700367 6666727940 7333400734 14666801468 18333501835 36667003670 73334007340