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1004144232 = 2337132571789
BaseRepresentation
bin111011110110100…
…000011001101000
32120222110210221010
4323312200121220
54024030103412
6243350143520
733612041130
oct7366403150
92528423833
101004144232
114758a4473
12240351ba0
1313005b5b0
1497509ac0
155d24e33c
hex3bda0668

1004144232 has 128 divisors (see below), whose sum is σ = 3103430400. Its totient is φ = 263651328.

The previous prime is 1004144177. The next prime is 1004144293. The reversal of 1004144232 is 2324414001.

1004144232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1004144199 and 1004144208.

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, 560394 + ... + 562182.

It is an arithmetic number, because the mean of its divisors is an integer number (24245550).

Almost surely, 21004144232 is an apocalyptic number.

1004144232 is a gapful number since it is divisible by the number (12) 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 1004144232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551715200).

1004144232 is an abundant number, since it is smaller than the sum of its proper divisors (2099286168).

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

1004144232 is a wasteful number, since it uses less digits than its factorization.

1004144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1004144232 is about 31688.2349145546. The cubic root of 1004144232 is about 1001.3795067527.

Adding to 1004144232 its reverse (2324414001), we get a palindrome (3328558233).

The spelling of 1004144232 in words is "one billion, four million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 257 273 312 364 514 546 728 771 1028 1092 1542 1789 1799 2056 2184 3084 3341 3578 3598 5367 5397 6168 6682 7156 7196 10023 10734 10794 12523 13364 14312 14392 20046 21468 21588 23257 23387 25046 26728 37569 40092 42936 43176 46514 46774 50092 69771 70161 75138 80184 93028 93548 100184 139542 140322 150276 162799 186056 187096 279084 280644 300552 325598 459773 488397 558168 561288 651196 919546 976794 1302392 1379319 1839092 1953588 2758638 3218411 3678184 3907176 5517276 5977049 6436822 9655233 11034552 11954098 12873644 17931147 19310466 23908196 25747288 35862294 38620932 41839343 47816392 71724588 77241864 83678686 125518029 143449176 167357372 251036058 334714744 502072116 1004144232