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1004014340 = 225719894241
BaseRepresentation
bin111011110110000…
…000101100000100
32120222020012202022
4323312000230010
54024011424330
6243343302312
733610660340
oct7366005404
92528205668
101004014340
1147581591a
122402aa998
13130014434
14974b4620
155d225ae5
hex3bd80b04

1004014340 has 96 divisors (see below), whose sum is σ = 2565561600. Its totient is φ = 322375680.

The previous prime is 1004014313. The next prime is 1004014367. The reversal of 1004014340 is 434104001.

It is an interprime number because it is at equal distance from previous prime (1004014313) and next prime (1004014367).

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 31 ways as a sum of consecutive naturals, for example, 234620 + ... + 238860.

It is an arithmetic number, because the mean of its divisors is an integer number (26724600).

Almost surely, 21004014340 is an apocalyptic number.

1004014340 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 1004014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282780800).

1004014340 is an abundant number, since it is smaller than the sum of its proper divisors (1561547260).

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

1004014340 is a wasteful number, since it uses less digits than its factorization.

1004014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1004014340 is about 31686.1853178952. The cubic root of 1004014340 is about 1001.3363267686.

Adding to 1004014340 its reverse (434104001), we get a palindrome (1438118341).

The spelling of 1004014340 in words is "one billion, four million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 89 95 133 140 178 190 266 356 380 445 532 623 665 890 1246 1330 1691 1780 2492 2660 3115 3382 4241 6230 6764 8455 8482 11837 12460 16910 16964 21205 23674 29687 33820 42410 47348 59185 59374 80579 84820 118370 118748 148435 161158 236740 296870 322316 377449 402895 564053 593740 754898 805790 1128106 1509796 1611580 1887245 2256212 2642143 2820265 3774490 5284286 5640530 7171531 7548980 10568572 11281060 13210715 14343062 26421430 28686124 35857655 50200717 52842860 71715310 100401434 143430620 200802868 251003585 502007170 1004014340