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103306064 = 2423347809
BaseRepresentation
bin1100010100001…
…01001101010000
321012101111021112
412022011031100
5202421243224
614130112452
72363041601
oct612051520
9235344245
10103306064
115334a414
122a71b728
1318530564
14da11da8
15910930e
hex6285350

103306064 has 40 divisors (see below), whose sum is σ = 209718720. Its totient is φ = 49203968.

The previous prime is 103306061. The next prime is 103306079. The reversal of 103306064 is 460603301.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103306061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127292 + ... + 128100.

It is an arithmetic number, because the mean of its divisors is an integer number (5242968).

Almost surely, 2103306064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104859360).

103306064 is an abundant number, since it is smaller than the sum of its proper divisors (106412656).

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

103306064 is a wasteful number, since it uses less digits than its factorization.

103306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 103306064 is about 10163.9590711494. The cubic root of 103306064 is about 469.2186565193.

Adding to 103306064 its reverse (460603301), we get a palindrome (563909365).

The spelling of 103306064 in words is "one hundred three million, three hundred six thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 347 368 694 809 1388 1618 2776 3236 5552 6472 7981 12944 15962 18607 31924 37214 63848 74428 127696 148856 280723 297712 561446 1122892 2245784 4491568 6456629 12913258 25826516 51653032 103306064