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73391340 = 2235113919
BaseRepresentation
bin1000101111111…
…01110011101100
312010002122222210
410113331303230
5122242010330
611141010420
71550546631
oct427756354
9163078883
1073391340
1138478000
12206b3a10
1312288339
149a66188
15669a8b0
hex45fdcec

73391340 has 96 divisors (see below), whose sum is σ = 226275840. Its totient is φ = 17772480.

The previous prime is 73391333. The next prime is 73391341. The reversal of 73391340 is 4319337.

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

It is a junction number, because it is equal to n+sod(n) for n = 73391298 and 73391307.

It is not an unprimeable number, because it can be changed into a prime (73391341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79401 + ... + 80319.

It is an arithmetic number, because the mean of its divisors is an integer number (2357040).

Almost surely, 273391340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73391340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113137920).

73391340 is an abundant number, since it is smaller than the sum of its proper divisors (152884500).

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

73391340 is a wasteful number, since it uses less digits than its factorization.

73391340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 73391340 is about 8566.8745759466. The cubic root of 73391340 is about 418.6794121755.

The spelling of 73391340 in words is "seventy-three million, three hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 919 1210 1331 1452 1815 1838 2420 2662 2757 3630 3676 3993 4595 5324 5514 6655 7260 7986 9190 10109 11028 13310 13785 15972 18380 19965 20218 26620 27570 30327 39930 40436 50545 55140 60654 79860 101090 111199 121308 151635 202180 222398 303270 333597 444796 555995 606540 667194 1111990 1223189 1334388 1667985 2223980 2446378 3335970 3669567 4892756 6115945 6671940 7339134 12231890 14678268 18347835 24463780 36695670 73391340