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1003221340 = 2251117313857
BaseRepresentation
bin111011110010111…
…111000101011100
32120220201220221221
4323302333011130
54023311040330
6243314303124
733601145362
oct7362770534
92526656857
101003221340
11475324050
1223bb87aa4
1312cac74c4
1497349632
155d11ab7a
hex3bcbf15c

1003221340 has 96 divisors (see below), whose sum is σ = 2444105664. Its totient is φ = 341852160.

The previous prime is 1003221319. The next prime is 1003221341. The reversal of 1003221340 is 431223001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003221341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170192 + ... + 1171048.

It is an arithmetic number, because the mean of its divisors is an integer number (25459434).

Almost surely, 21003221340 is an apocalyptic number.

1003221340 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 1003221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222052832).

1003221340 is an abundant number, since it is smaller than the sum of its proper divisors (1440884324).

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

1003221340 is a wasteful number, since it uses less digits than its factorization.

1003221340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1003221340 is about 31673.6695063897. The cubic root of 1003221340 is about 1001.0726290555.

Adding to 1003221340 its reverse (431223001), we get a palindrome (1434444341).

The spelling of 1003221340 in words is "one billion, three million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 313 340 374 626 748 857 935 1252 1565 1714 1870 3130 3428 3443 3740 4285 5321 6260 6886 8570 9427 10642 13772 14569 17140 17215 18854 21284 26605 29138 34430 37708 47135 53210 58276 58531 68860 72845 94270 106420 117062 145690 160259 188540 234124 268241 291380 292655 320518 536482 585310 641036 801295 1072964 1170620 1341205 1602590 2682410 2950651 3205180 4560097 5364820 5901302 9120194 11802604 14753255 18240388 22800485 29506510 45600970 50161067 59013020 91201940 100322134 200644268 250805335 501610670 1003221340