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1003055340 = 223577133637
BaseRepresentation
bin111011110010010…
…110100011101100
32120220102111020210
4323302112203230
54023240232330
6243310542420
733566554410
oct7362264354
92526374223
101003055340
11475220361
1223bb07a10
1312ca69a91
1497304d40
155d0d68b0
hex3bc968ec

1003055340 has 96 divisors (see below), whose sum is σ = 3255081984. Its totient is φ = 226033920.

The previous prime is 1003055327. The next prime is 1003055351. The reversal of 1003055340 is 435503001.

It is a super-2 number, since 2×10030553402 = 2012240030205031200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13002 + ... + 46638.

It is an arithmetic number, because the mean of its divisors is an integer number (33907104).

Almost surely, 21003055340 is an apocalyptic number.

1003055340 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 1003055340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627540992).

1003055340 is an abundant number, since it is smaller than the sum of its proper divisors (2252026644).

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

1003055340 is a wasteful number, since it uses less digits than its factorization.

1003055340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33727 (or 33725 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1003055340 is about 31671.0489248462. The cubic root of 1003055340 is about 1001.0174111901.

Adding to 1003055340 its reverse (435503001), we get a palindrome (1438558341).

The spelling of 1003055340 in words is "one billion, three million, fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14910 29820 33637 67274 100911 134548 168185 201822 235459 336370 403644 470918 504555 672740 706377 941836 1009110 1177295 1412754 2018220 2354590 2388227 2825508 3531885 4709180 4776454 7063770 7164681 9552908 11941135 14127540 14329362 16717589 23882270 28658724 33435178 35823405 47764540 50152767 66870356 71646810 83587945 100305534 143293620 167175890 200611068 250763835 334351780 501527670 1003055340