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1004432340 = 2235193723813
BaseRepresentation
bin111011110111100…
…110101111010100
32121000000110010210
4323313212233110
54024113313330
6243400245420
733614351112
oct7367465724
92530013123
101004432340
11475a8097a
12240470870
1313012c782
1497582ab2
155d2a98b0
hex3bde6bd4

1004432340 has 96 divisors (see below), whose sum is σ = 3040571520. Its totient is φ = 246882816.

The previous prime is 1004432327. The next prime is 1004432357. The reversal of 1004432340 is 432344001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30274 + ... + 54086.

It is an arithmetic number, because the mean of its divisors is an integer number (31672620).

Almost surely, 21004432340 is an apocalyptic number.

1004432340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520285760).

1004432340 is an abundant number, since it is smaller than the sum of its proper divisors (2036139180).

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

1004432340 is a wasteful number, since it uses less digits than its factorization.

1004432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23881 (or 23879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1004432340 is about 31692.7805659270. The cubic root of 1004432340 is about 1001.4752691773.

Adding to 1004432340 its reverse (432344001), we get a palindrome (1436776341).

The spelling of 1004432340 in words is "one billion, four million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 23813 42180 47626 71439 95252 119065 142878 238130 285756 357195 452447 476260 714390 881081 904894 1357341 1428780 1762162 1809788 2262235 2643243 2714682 3524324 4405405 4524470 5286486 5429364 6786705 8810810 9048940 10572972 13216215 13573410 16740539 17621620 26432430 27146820 33481078 50221617 52864860 66962156 83702695 100443234 167405390 200886468 251108085 334810780 502216170 1004432340