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4108730340 = 223511131721657
BaseRepresentation
bin1111010011100110…
…0011111111100100
3101121100022010102210
43310321203333210
531403313332330
61515412203420
7203550426441
oct36471437744
911540263383
104108730340
1118192a8a10
12968009570
13506300bb0
142ad9789c8
15190aa18b0
hexf4e63fe4

4108730340 has 288 divisors, whose sum is σ = 14366185344. Its totient is φ = 864829440.

The previous prime is 4108730309. The next prime is 4108730347. The reversal of 4108730340 is 430378014.

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 = 4108730298 and 4108730307.

It is not an unprimeable number, because it can be changed into a prime (4108730347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2478792 + ... + 2480448.

It is an arithmetic number, because the mean of its divisors is an integer number (49882588).

Almost surely, 24108730340 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 4108730340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183092672).

4108730340 is an abundant number, since it is smaller than the sum of its proper divisors (10257455004).

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

4108730340 is a wasteful number, since it uses less digits than its factorization.

4108730340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4108730340 is about 64099.3786241333. The cubic root of 4108730340 is about 1601.6558820471.

The spelling of 4108730340 in words is "four billion, one hundred eight million, seven hundred thirty thousand, three hundred forty".