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101494344 = 23371913163
BaseRepresentation
bin1100000110010…
…10111001001000
321001222110001210
412003022321020
5201440304334
614023213120
72341454610
oct603127110
9231873053
10101494344
1152322226
1229ba71a0
1318047a33
14d69da40
158d9c5e9
hex60cae48

101494344 has 64 divisors (see below), whose sum is σ = 291594240. Its totient is φ = 28837440.

The previous prime is 101494297. The next prime is 101494357. The reversal of 101494344 is 443494101.

It is a super-2 number, since 2×1014943442 = 20602203727980672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30507 + ... + 33669.

It is an arithmetic number, because the mean of its divisors is an integer number (4556160).

Almost surely, 2101494344 is an apocalyptic number.

101494344 is a gapful number since it is divisible by the number (14) 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 101494344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145797120).

101494344 is an abundant number, since it is smaller than the sum of its proper divisors (190099896).

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

101494344 is a wasteful number, since it uses less digits than its factorization.

101494344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 101494344 is about 10074.4401333275. The cubic root of 101494344 is about 466.4595048761.

The spelling of 101494344 in words is "one hundred one million, four hundred ninety-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 382 573 764 1146 1337 1528 2292 2674 3163 4011 4584 5348 6326 8022 9489 10696 12652 16044 18978 22141 25304 32088 37956 44282 66423 75912 88564 132846 177128 265692 531384 604133 1208266 1812399 2416532 3624798 4228931 4833064 7249596 8457862 12686793 14499192 16915724 25373586 33831448 50747172 101494344