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1003422330 = 2355292491
BaseRepresentation
bin111011110011110…
…000001001111010
32120221010010200000
4323303300021322
54023334003310
6243322453430
733602643351
oct7363601172
92527103600
101003422330
11475451059
12240064276
1312cb67b31
149739c998
155d15a4c0
hex3bcf027a

1003422330 has 144 divisors (see below), whose sum is σ = 2807741664. Its totient is φ = 257826240.

The previous prime is 1003422313. The next prime is 1003422337. The reversal of 1003422330 is 332243001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1003422337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2043385 + ... + 2043875.

It is an arithmetic number, because the mean of its divisors is an integer number (19498206).

Almost surely, 21003422330 is an apocalyptic number.

1003422330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003422330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403870832).

1003422330 is an abundant number, since it is smaller than the sum of its proper divisors (1804319334).

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

1003422330 is an equidigital number, since it uses as much as digits as its factorization.

1003422330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1003422330 is about 31676.8421721610. The cubic root of 1003422330 is about 1001.1394777639.

Adding to 1003422330 its reverse (332243001), we get a palindrome (1335665331).

The spelling of 1003422330 in words is "one billion, three million, four hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 491 522 783 810 841 870 982 1215 1305 1473 1566 1682 2349 2430 2455 2523 2610 2946 3915 4205 4419 4698 4910 5046 7047 7365 7569 7830 8410 8838 11745 12615 13257 14094 14239 14730 15138 22095 22707 23490 25230 26514 28478 35235 37845 39771 42717 44190 45414 66285 68121 70470 71195 75690 79542 85434 113535 119313 128151 132570 136242 142390 198855 204363 213585 227070 238626 256302 340605 384453 397710 408726 412931 427170 596565 640755 681210 768906 825862 1021815 1153359 1193130 1238793 1281510 1922265 2043630 2064655 2306718 2477586 3460077 3716379 3844530 4129310 5766795 6193965 6920154 7432758 11149137 11533590 12387930 17300385 18581895 22298274 33447411 34600770 37163790 55745685 66894822 100342233 111491370 167237055 200684466 334474110 501711165 1003422330