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1034100108 = 22353134319
BaseRepresentation
bin111101101000110…
…001110110001100
32200001211201200000
4331220301312030
54104212200413
6250340204300
734424464056
oct7550616614
92601751600
101034100108
114907a4798
1224a399690
13136319472
149b4a68d6
1560bba073
hex3da31d8c

1034100108 has 72 divisors (see below), whose sum is σ = 2798315520. Its totient is φ = 333570960.

The previous prime is 1034100107. The next prime is 1034100127. The reversal of 1034100108 is 8010014301.

It is a super-2 number, since 2×10341001082 = 2138726066731223328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1034100101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12973 + ... + 47291.

Almost surely, 21034100108 is an apocalyptic number.

1034100108 is a gapful number since it is divisible by the number (18) 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 1034100108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399157760).

1034100108 is an abundant number, since it is smaller than the sum of its proper divisors (1764215412).

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

1034100108 is a wasteful number, since it uses less digits than its factorization.

1034100108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34369 (or 34355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1034100108 is about 32157.4269493067. The cubic root of 1034100108 is about 1011.2398941154.

Adding to 1034100108 its reverse (8010014301), we get a palindrome (9044114409).

The spelling of 1034100108 in words is "one billion, thirty-four million, one hundred thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 7533 10044 15066 30132 34319 68638 102957 137276 205914 308871 411828 617742 926613 1063889 1235484 1853226 2127778 2779839 3191667 3706452 4255556 5559678 6383334 8339517 9575001 11119356 12766668 16679034 19150002 28725003 33358068 38300004 57450006 86175009 114900012 172350018 258525027 344700036 517050054 1034100108