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101343456 = 2532351887
BaseRepresentation
bin1100000101001…
…10000011100000
321001200210002100
412002212003200
5201420442311
614020050400
72340255654
oct602460340
9231623070
10101343456
1152229925
1229b33a00
1317cc4156
14d660a64
158d6ca56
hex60a60e0

101343456 has 36 divisors (see below), whose sum is σ = 288196272. Its totient is φ = 33781056.

The previous prime is 101343391. The next prime is 101343461. The reversal of 101343456 is 654343101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175656 + ... + 176231.

It is an arithmetic number, because the mean of its divisors is an integer number (8005452).

Almost surely, 2101343456 is an apocalyptic number.

101343456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101343456 is an abundant number, since it is smaller than the sum of its proper divisors (186852816).

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

101343456 is a wasteful number, since it uses less digits than its factorization.

101343456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351903 (or 351892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 101343456 is about 10066.9486936211. The cubic root of 101343456 is about 466.2282340272.

Adding to 101343456 its reverse (654343101), we get a palindrome (755686557).

The spelling of 101343456 in words is "one hundred one million, three hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 351887 703774 1055661 1407548 2111322 2815096 3166983 4222644 5630192 6333966 8445288 11260384 12667932 16890576 25335864 33781152 50671728 101343456