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1107434104 = 23724875801
BaseRepresentation
bin100001000000010…
…0001101001111000
32212011211110222221
41002000201221320
54232000342404
6301520053424
736305014600
oct10200415170
92764743887
101107434104
115191326a7
1226aa64274
1314858466a
14a7115c00
1567353954
hex42021a78

1107434104 has 48 divisors (see below), whose sum is σ = 2420826480. Its totient is φ = 473558400.

The previous prime is 1107434063. The next prime is 1107434113. The reversal of 1107434104 is 4014347011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188004 + ... + 193804.

It is an arithmetic number, because the mean of its divisors is an integer number (50433885).

Almost surely, 21107434104 is an apocalyptic number.

1107434104 is a gapful number since it is divisible by the number (14) 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 1107434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210413240).

1107434104 is an abundant number, since it is smaller than the sum of its proper divisors (1313392376).

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

1107434104 is a wasteful number, since it uses less digits than its factorization.

1107434104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1107434104 is about 33278.1325197193. The cubic root of 1107434104 is about 1034.6003743980.

The spelling of 1107434104 in words is "one billion, one hundred seven million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 487 974 1948 3409 3896 5801 6818 11602 13636 23204 23863 27272 40607 46408 47726 81214 95452 162428 190904 284249 324856 568498 1136996 2273992 2825087 5650174 11300348 19775609 22600696 39551218 79102436 138429263 158204872 276858526 553717052 1107434104