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1003342140 = 22355431479
BaseRepresentation
bin111011110011011…
…100100100111100
32120220222001200000
4323303130210330
54023323422030
6243321034300
733602160513
oct7363344474
92526861600
101003342140
114753a6889
12240025990
1312cb3a498
149737b67a
155d141860
hex3bcdc93c

1003342140 has 144 divisors (see below), whose sum is σ = 3170119680. Its totient is φ = 266379840.

The previous prime is 1003342127. The next prime is 1003342147. The reversal of 1003342140 is 412433001.

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 (1003342147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094421 + ... + 2094899.

It is an arithmetic number, because the mean of its divisors is an integer number (22014720).

Almost surely, 21003342140 is an apocalyptic number.

1003342140 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 1003342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

1003342140 is an abundant number, since it is smaller than the sum of its proper divisors (2166777540).

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

1003342140 is a wasteful number, since it uses less digits than its factorization.

1003342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 920 counting only the distinct ones).

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

The square root of 1003342140 is about 31675.5763957027. The cubic root of 1003342140 is about 1001.1128078660.

Adding to 1003342140 its reverse (412433001), we get a palindrome (1415775141).

The spelling of 1003342140 in words is "one billion, three million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 431 479 486 540 810 862 958 972 1215 1293 1437 1620 1724 1916 2155 2395 2430 2586 2874 3879 4310 4311 4790 4860 5172 5748 6465 7185 7758 8620 8622 9580 11637 12930 12933 14370 15516 17244 19395 21555 23274 25860 25866 28740 34911 38790 38799 43110 46548 51732 58185 64665 69822 77580 77598 86220 104733 116370 116397 129330 139644 155196 174555 193995 206449 209466 232740 232794 258660 349110 387990 412898 418932 465588 523665 581985 619347 698220 775980 825796 1032245 1047330 1163970 1238694 1858041 2064490 2094660 2327940 2477388 3096735 3716082 4128980 5574123 6193470 7432164 9290205 11148246 12386940 16722369 18580410 22296492 27870615 33444738 37160820 50167107 55741230 66889476 83611845 100334214 111482460 167223690 200668428 250835535 334447380 501671070 1003342140