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1020344004 = 2232192951439
BaseRepresentation
bin111100110100010…
…011011011000100
32122002221211211200
4330310103123010
54042202002004
6245125302500
734166531601
oct7464233304
92562854750
101020344004
11483a59609
12245864a30
13133511064
14997256a8
155e89e239
hex3cd136c4

1020344004 has 72 divisors (see below), whose sum is σ = 2808624000. Its totient is φ = 311097024.

The previous prime is 1020343981. The next prime is 1020344021. The reversal of 1020344004 is 4004430201.

1020344004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10203440042 = 2082203772997504032, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5884 + ... + 45555.

Almost surely, 21020344004 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 1020344004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404312000).

1020344004 is an abundant number, since it is smaller than the sum of its proper divisors (1788279996).

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

1020344004 is a wasteful number, since it uses less digits than its factorization.

1020344004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51497 (or 51492 counting only the distinct ones).

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

The square root of 1020344004 is about 31942.8239828604. The cubic root of 1020344004 is about 1006.7358609709.

Adding to 1020344004 its reverse (4004430201), we get a palindrome (5024774205).

The spelling of 1020344004 in words is "one billion, twenty million, three hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 9918 19836 51439 102878 154317 205756 308634 462951 617268 925902 977341 1491731 1851804 1954682 2932023 2983462 3909364 4475193 5864046 5966924 8796069 8950386 11728092 13425579 17592138 17900772 26851158 28342889 35184276 53702316 56685778 85028667 113371556 170057334 255086001 340114668 510172002 1020344004