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102435344 = 24112632213
BaseRepresentation
bin1100001101100…
…00101000010000
321010202020212122
412012300220100
5202210412334
614055313412
72352454214
oct606605020
9233666778
10102435344
1152905210
122a37b868
13182b713b
14d866944
158ed632e
hex61b0a10

102435344 has 40 divisors (see below), whose sum is σ = 217432512. Its totient is φ = 46363520.

The previous prime is 102435341. The next prime is 102435383. The reversal of 102435344 is 443534201.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (102435341) 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, 45182 + ... + 47394.

Almost surely, 2102435344 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 102435344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108716256).

102435344 is an abundant number, since it is smaller than the sum of its proper divisors (114997168).

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

102435344 is a wasteful number, since it uses less digits than its factorization.

102435344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 102435344 is about 10121.0347297102. The cubic root of 102435344 is about 467.8966582156.

Adding to 102435344 its reverse (443534201), we get a palindrome (545969545).

It can be divided in two parts, 1024 and 35344, that multiplied together give a square (36192256 = 60162).

The spelling of 102435344 in words is "one hundred two million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 263 526 1052 2104 2213 2893 4208 4426 5786 8852 11572 17704 23144 24343 35408 46288 48686 97372 194744 389488 582019 1164038 2328076 4656152 6402209 9312304 12804418 25608836 51217672 102435344