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1003344420 = 2235131724451
BaseRepresentation
bin111011110011011…
…101001000100100
32120220222011210110
4323303131020210
54023324010140
6243321053020
733602200251
oct7363351044
92526864713
101003344420
114753a8571
12240027170
1312cb3b530
149737c428
155d142380
hex3bcdd224

1003344420 has 144 divisors (see below), whose sum is σ = 3214628928. Its totient is φ = 232396800.

The previous prime is 1003344389. The next prime is 1003344439. The reversal of 1003344420 is 244433001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223195 + ... + 227645.

It is an arithmetic number, because the mean of its divisors is an integer number (22323812).

Almost surely, 21003344420 is an apocalyptic number.

1003344420 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 1003344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607314464).

1003344420 is an abundant number, since it is smaller than the sum of its proper divisors (2211284508).

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

1003344420 is a wasteful number, since it uses less digits than its factorization.

1003344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1003344420 is about 31675.6123855562. The cubic root of 1003344420 is about 1001.1135661768.

Adding to 1003344420 its reverse (244433001), we get a palindrome (1247777421).

The spelling of 1003344420 in words is "one billion, three million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 289 340 390 442 510 578 663 780 867 884 1020 1105 1156 1326 1445 1734 2210 2652 2890 3315 3468 3757 4335 4420 4451 5780 6630 7514 8670 8902 11271 13260 13353 15028 17340 17804 18785 22255 22542 26706 37570 44510 45084 53412 56355 57863 66765 75140 75667 89020 112710 115726 133530 151334 173589 225420 227001 231452 267060 289315 302668 347178 378335 454002 578630 694356 756670 867945 908004 983671 1135005 1157260 1286339 1513340 1735890 1967342 2270010 2572678 2951013 3471780 3859017 3934684 4540020 4918355 5145356 5902026 6431695 7718034 9836710 11804052 12863390 14755065 15436068 16722407 19295085 19673420 25726780 29510130 33444814 38590170 50167221 59020260 66889628 77180340 83612035 100334442 167224070 200668884 250836105 334448140 501672210 1003344420