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1003043412 = 22347716229
BaseRepresentation
bin111011110010010…
…011101001010100
32120220101212220000
4323302103221110
54023234342122
6243310411300
733566504550
oct7362235124
92526355800
101003043412
114752123a8
1223bb00b30
1312ca64517
1497300860
155d0d30ac
hex3bc93a54

1003043412 has 120 divisors (see below), whose sum is σ = 3039442560. Its totient is φ = 282502080.

The previous prime is 1003043411. The next prime is 1003043417. The reversal of 1003043412 is 2143403001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003043411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157914 + ... + 164142.

It is an arithmetic number, because the mean of its divisors is an integer number (25328688).

Almost surely, 21003043412 is an apocalyptic number.

1003043412 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 1003043412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519721280).

1003043412 is an abundant number, since it is smaller than the sum of its proper divisors (2036399148).

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

1003043412 is a wasteful number, since it uses less digits than its factorization.

1003043412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1003043412 is about 31670.8606135040. The cubic root of 1003043412 is about 1001.0134432525.

Adding to 1003043412 its reverse (2143403001), we get a palindrome (3146446413).

The spelling of 1003043412 in words is "one billion, three million, forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 81 84 108 126 142 162 189 213 252 284 324 378 426 497 567 639 756 852 994 1134 1278 1491 1917 1988 2268 2556 2982 3834 4473 5751 5964 6229 7668 8946 11502 12458 13419 17892 18687 23004 24916 26838 37374 40257 43603 53676 56061 74748 80514 87206 112122 130809 161028 168183 174412 224244 261618 336366 392427 442259 504549 523236 672732 784854 884518 1009098 1177281 1326777 1569708 1769036 2018196 2354562 2653554 3095813 3531843 3980331 4709124 5307108 6191626 7063686 7960662 9287439 11940993 12383252 14127372 15921324 18574878 23881986 27862317 35822979 37149756 47763972 55724634 71645958 83586951 111449268 143291916 167173902 250760853 334347804 501521706 1003043412