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73032670340 = 2257274523133
BaseRepresentation
bin100010000000100010…
…1100001110010000100
320222111202212001111022
41010001011201302010
52144032330422330
653314543330312
75163550312100
oct1040105416204
9228452761438
1073032670340
1128a780471a3
12121a25b0998
136b6b82a446
14376b6c4900
151d769a9ae5
hex1101161c84

73032670340 has 36 divisors (see below), whose sum is σ = 178408382796. Its totient is φ = 25039772352.

The previous prime is 73032670331. The next prime is 73032670349. The reversal of 73032670340 is 4307623037.

It is an interprime number because it is at equal distance from previous prime (73032670331) and next prime (73032670349).

It can be written as a sum of positive squares in 2 ways, for example, as 52864126084 + 20168544256 = 229922^2 + 142016^2 .

It is a super-2 number, since 2×730326703402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 73032670340.

It is not an unprimeable number, because it can be changed into a prime (73032670349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37260587 + ... + 37262546.

It is an arithmetic number, because the mean of its divisors is an integer number (4955788411).

Almost surely, 273032670340 is an apocalyptic number.

73032670340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73032670340 is an abundant number, since it is smaller than the sum of its proper divisors (105375712456).

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

73032670340 is a wasteful number, since it uses less digits than its factorization.

73032670340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74523156 (or 74523147 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 35.

The spelling of 73032670340 in words is "seventy-three billion, thirty-two million, six hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 74523133 149046266 298092532 372615665 521661931 745231330 1043323862 1490462660 2086647724 2608309655 3651633517 5216619310 7303267034 10433238620 14606534068 18258167585 36516335170 73032670340