Search a number
-
+
103334976 = 26321761173
BaseRepresentation
bin1100010100011…
…00010001000000
321012102221221100
412022030101000
5202423204401
614130454400
72363222103
oct612142100
9235387840
10103334976
115336a108
122a734400
1318540774
14da1c73a
159112b86
hex628c440

103334976 has 168 divisors, whose sum is σ = 320597784. Its totient is φ = 31703040.

The previous prime is 103334953. The next prime is 103334983. The reversal of 103334976 is 679433301.

It can be written as a sum of positive squares in 4 ways, for example, as 21902400 + 81432576 = 4680^2 + 9024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103334976.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597226 + ... + 597398.

Almost surely, 2103334976 is an apocalyptic number.

103334976 is a gapful number since it is divisible by the number (16) 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 103334976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160298892).

103334976 is an abundant number, since it is smaller than the sum of its proper divisors (217262808).

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

103334976 is a wasteful number, since it uses less digits than its factorization.

103334976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 103334976 is about 10165.3812520731. The cubic root of 103334976 is about 469.2624254389.

The spelling of 103334976 in words is "one hundred three million, three hundred thirty-four thousand, nine hundred seventy-six".