Search a number
-
+
103484412 = 223319293747
BaseRepresentation
bin1100010101100…
…00101111111100
321012201112221000
412022300233330
5202443000122
614134010300
72364413553
oct612605774
9235645830
10103484412
1153461409
122a7a6990
13185937a5
14da5ad9a
1591420ac
hex62b0bfc

103484412 has 192 divisors, whose sum is σ = 306432000. Its totient is φ = 30046464.

The previous prime is 103484401. The next prime is 103484471. The reversal of 103484412 is 214484301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2201773 + ... + 2201819.

It is an arithmetic number, because the mean of its divisors is an integer number (1596000).

Almost surely, 2103484412 is an apocalyptic number.

103484412 is a gapful number since it is divisible by the number (12) 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 103484412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).

103484412 is an abundant number, since it is smaller than the sum of its proper divisors (202947588).

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

103484412 is a wasteful number, since it uses less digits than its factorization.

103484412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 103484412 is about 10172.7288374359. The cubic root of 103484412 is about 469.4885215987.

The spelling of 103484412 in words is "one hundred three million, four hundred eighty-four thousand, four hundred twelve".