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1022002434 = 23424126177
BaseRepresentation
bin111100111010101…
…000010100000010
32122020002002210000
4330322220110002
54043113034214
6245225020430
734216606635
oct7472502402
92566062700
101022002434
11484991612
12246324716
13133971b8b
1499a37c1c
155eaca809
hex3cea8502

1022002434 has 40 divisors (see below), whose sum is σ = 2299632588. Its totient is φ = 339240960.

The previous prime is 1022002411. The next prime is 1022002441. The reversal of 1022002434 is 4342002201.

1022002434 is a `hidden beast` number, since 10 + 220 + 0 + 2 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 847683225 + 174319209 = 29115^2 + 13203^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 25954 + ... + 52130.

Almost surely, 21022002434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022002434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149816294).

1022002434 is an abundant number, since it is smaller than the sum of its proper divisors (1277630154).

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

1022002434 is a wasteful number, since it uses less digits than its factorization.

1022002434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432 (or 26423 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1022002434 is about 31968.7727947133. The cubic root of 1022002434 is about 1007.2810029994.

Adding to 1022002434 its reverse (4342002201), we get a palindrome (5364004635).

The spelling of 1022002434 in words is "one billion, twenty-two million, two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 241 482 723 1446 2169 4338 6507 13014 19521 26177 39042 52354 78531 157062 235593 471186 706779 1413558 2120337 4240674 6308657 12617314 18925971 37851942 56777913 113555826 170333739 340667478 511001217 1022002434