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2023434 = 233753101
BaseRepresentation
bin111101110000000001010
310210210122000
413232000022
51004222214
6111211430
723125140
oct7560012
93723560
102023434
111162266
12816b76
1355acca
143a9590
1529e809
hex1ee00a

2023434 has 64 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 561600.

The previous prime is 2023433. The next prime is 2023447. The reversal of 2023434 is 4343202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2023433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19984 + ... + 20084.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

22023434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

2023434 is an abundant number, since it is smaller than the sum of its proper divisors (3264246).

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

2023434 is a wasteful number, since it uses less digits than its factorization.

2023434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2023434 is about 1422.4746043427. The cubic root of 2023434 is about 126.4822786551.

Adding to 2023434 its reverse (4343202), we get a palindrome (6366636).

The spelling of 2023434 in words is "two million, twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 101 106 126 159 189 202 303 318 371 378 477 606 707 742 909 954 1113 1414 1431 1818 2121 2226 2727 2862 3339 4242 5353 5454 6363 6678 10017 10706 12726 16059 19089 20034 32118 37471 38178 48177 74942 96354 112413 144531 224826 289062 337239 674478 1011717 2023434