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73484740 = 22571274133
BaseRepresentation
bin1000110000101…
…00100111000100
312010021102010001
410120110213010
5122303002430
611143011044
71551416140
oct430244704
9163242101
1073484740
113853119a
1220739a84
13122bb9c4
149a8c220
1566b83ca
hex46149c4

73484740 has 48 divisors (see below), whose sum is σ = 177795072. Its totient is φ = 24990336.

The previous prime is 73484737. The next prime is 73484771. The reversal of 73484740 is 4748437.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73484740.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15714 + ... + 19846.

It is an arithmetic number, because the mean of its divisors is an integer number (3704064).

Almost surely, 273484740 is an apocalyptic number.

73484740 is a gapful number since it is divisible by the number (70) 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 73484740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88897536).

73484740 is an abundant number, since it is smaller than the sum of its proper divisors (104310332).

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

73484740 is a wasteful number, since it uses less digits than its factorization.

73484740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 73484740 is about 8572.3240722689. The cubic root of 73484740 is about 418.8569448391.

The spelling of 73484740 in words is "seventy-three million, four hundred eighty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 2540 3556 4133 4445 8266 8890 16532 17780 20665 28931 41330 57862 82660 115724 144655 289310 524891 578620 1049782 2099564 2624455 3674237 5248910 7348474 10497820 14696948 18371185 36742370 73484740