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8104340 = 2252989157
BaseRepresentation
bin11110111010100110010100
3120020202001202
4132322212110
54033314330
6445412032
7125612546
oct36724624
916222052
108104340
114635a02
12286a018
1318a9a8a
14110d696
15aa1445
hex7ba994

8104340 has 48 divisors (see below), whose sum is σ = 17917200. Its totient is φ = 3075072.

The previous prime is 8104337. The next prime is 8104363. The reversal of 8104340 is 434018.

8104340 = T9 + T10 + ... + T364.

It can be written as a sum of positive squares in 8 ways, for example, as 857476 + 7246864 = 926^2 + 2692^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 51542 + ... + 51698.

It is an arithmetic number, because the mean of its divisors is an integer number (373275).

Almost surely, 28104340 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 8104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958600).

8104340 is an abundant number, since it is smaller than the sum of its proper divisors (9812860).

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

8104340 is a wasteful number, since it uses less digits than its factorization.

8104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8104340 is about 2846.8122523272. The cubic root of 8104340 is about 200.8657470032.

Adding to 8104340 its reverse (434018), we get a palindrome (8538358).

The spelling of 8104340 in words is "eight million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 157 178 290 314 356 445 580 628 785 890 1570 1780 2581 3140 4553 5162 9106 10324 12905 13973 18212 22765 25810 27946 45530 51620 55892 69865 91060 139730 279460 405217 810434 1620868 2026085 4052170 8104340