Search a number
-
+
102346440 = 2335737289
BaseRepresentation
bin1100001100110…
…10111011001000
321010120201220220
412012122323020
5202200041230
614053350040
72351634060
oct606327310
9233521826
10102346440
1152854439
122a338320
1318285831
14d8423a0
158eb9d10
hex619aec8

102346440 has 192 divisors, whose sum is σ = 364694400. Its totient is φ = 22505472.

The previous prime is 102346427. The next prime is 102346457. The reversal of 102346440 is 44643201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102346440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149916 + ... + 1150004.

It is an arithmetic number, because the mean of its divisors is an integer number (1899450).

Almost surely, 2102346440 is an apocalyptic number.

102346440 is a gapful number since it is divisible by the number (10) 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 102346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182347200).

102346440 is an abundant number, since it is smaller than the sum of its proper divisors (262347960).

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

102346440 is a wasteful number, since it uses less digits than its factorization.

102346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 102346440 is about 10116.6417352795. The cubic root of 102346440 is about 467.7612559772.

Adding to 102346440 its reverse (44643201), we get a palindrome (146989641).

The spelling of 102346440 in words is "one hundred two million, three hundred forty-six thousand, four hundred forty".