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1000343631 = 37172802083
BaseRepresentation
bin111011101000000…
…000100001001111
32120201022201111010
4323220000201033
54022041444011
6243132500303
733534531510
oct7350004117
92521281433
101000343631
11473738a81
1223b01a693
1312c32a711
1496bdaa07
155cc4d1a6
hex3ba0084f

1000343631 has 16 divisors (see below), whose sum is σ = 1614000384. Its totient is φ = 537999744.

The previous prime is 1000343627. The next prime is 1000343633. The reversal of 1000343631 is 1363430001.

It is not a de Polignac number, because 1000343631 - 22 = 1000343627 is a prime.

It is a super-2 number, since 2×10003436312 = 2001374760164528322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000343598 and 1000343607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000343633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400685 + ... + 1401398.

It is an arithmetic number, because the mean of its divisors is an integer number (100875024).

Almost surely, 21000343631 is an apocalyptic number.

1000343631 is a deficient number, since it is larger than the sum of its proper divisors (613656753).

1000343631 is a wasteful number, since it uses less digits than its factorization.

1000343631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802110.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1000343631 is about 31628.2094181760. The cubic root of 1000343631 is about 1000.1145305489.

Adding to 1000343631 its reverse (1363430001), we get a palindrome (2363773632).

The spelling of 1000343631 in words is "one billion, three hundred forty-three thousand, six hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 2802083 8406249 19614581 47635411 58843743 142906233 333447877 1000343631