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1004400430 = 251127383137
BaseRepresentation
bin111011110111011…
…110111100101110
32120222221211100221
4323313132330232
54024111303210
6243355441554
733614156065
oct7367367456
92528854327
101004400430
11475a59a00
122404562ba
1313011b0a7
14975751dc
155d2a01da
hex3bddef2e

1004400430 has 96 divisors (see below), whose sum is σ = 2053592352. Its totient is φ = 353295360.

The previous prime is 1004400421. The next prime is 1004400433. The reversal of 1004400430 is 340044001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004400433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7331322 + ... + 7331458.

It is an arithmetic number, because the mean of its divisors is an integer number (21391587).

Almost surely, 21004400430 is an apocalyptic number.

1004400430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004400430 is an abundant number, since it is smaller than the sum of its proper divisors (1049191922).

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

1004400430 is a wasteful number, since it uses less digits than its factorization.

1004400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1004400430 is about 31692.2771349741. The cubic root of 1004400430 is about 1001.4646637129.

Adding to 1004400430 its reverse (340044001), we get a palindrome (1344444431).

The spelling of 1004400430 in words is "one billion, four million, four hundred thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 73 83 110 121 137 146 166 242 274 365 415 605 685 730 803 830 913 1210 1370 1507 1606 1826 3014 4015 4565 6059 7535 8030 8833 9130 10001 10043 11371 12118 15070 16577 17666 20002 20086 22742 30295 33154 44165 50005 50215 56855 60590 66649 82885 88330 100010 100430 110011 113710 125081 133298 165770 220022 250162 333245 550055 625405 666490 733139 830083 1100110 1210121 1250810 1375891 1466278 1660166 2420242 2751782 3665695 4150415 6050605 6879455 7331390 8300830 9130913 12101210 13758910 18261826 45654565 91309130 100440043 200880086 502200215 1004400430