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4000302 = 2323167107
BaseRepresentation
bin1111010000101000101110
321112020101100
433100220232
52011002202
6221423530
746000455
oct17205056
97466340
104000302
112292539
12140aba6
13aa0a57
14761b9c
1554041c
hex3d0a2e

4000302 has 48 divisors (see below), whose sum is σ = 9165312. Its totient is φ = 1259280.

The previous prime is 4000301. The next prime is 4000303. The reversal of 4000302 is 2030004.

4000302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4000301) and next prime (4000303).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000301) 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 23 ways as a sum of consecutive naturals, for example, 37333 + ... + 37439.

It is an arithmetic number, because the mean of its divisors is an integer number (190944).

Almost surely, 24000302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582656).

4000302 is an abundant number, since it is smaller than the sum of its proper divisors (5165010).

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

4000302 is a wasteful number, since it uses less digits than its factorization.

4000302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4000302 is about 2000.0754985750. The cubic root of 4000302 is about 158.7441000556.

Adding to 4000302 its reverse (2030004), we get a palindrome (6030306).

The spelling of 4000302 in words is "four million, three hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 31 62 67 93 107 134 186 201 214 279 321 402 558 603 642 963 1206 1926 2077 3317 4154 6231 6634 7169 9951 12462 14338 18693 19902 21507 29853 37386 43014 59706 64521 129042 222239 444478 666717 1333434 2000151 4000302