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101434344 = 233112913249
BaseRepresentation
bin1100000101111…
…00001111101000
321001212101202120
412002330033220
5201431344334
614022031240
72341114644
oct602741750
9231771676
10101434344
1152291140
1229b78520
131802662b
14d685c24
158d89949
hex60bc3e8

101434344 has 64 divisors (see below), whose sum is σ = 286200000. Its totient is φ = 29675520.

The previous prime is 101434343. The next prime is 101434351. The reversal of 101434344 is 443434101.

It is a super-2 number, since 2×1014343442 = 20577852285420672, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101434343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1032 + ... + 14280.

It is an arithmetic number, because the mean of its divisors is an integer number (4471875).

Almost surely, 2101434344 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 101434344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143100000).

101434344 is an abundant number, since it is smaller than the sum of its proper divisors (184765656).

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

101434344 is a wasteful number, since it uses less digits than its factorization.

101434344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298 (or 13294 counting only the distinct ones).

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

The square root of 101434344 is about 10071.4618601274. The cubic root of 101434344 is about 466.3675684322.

Adding to 101434344 its reverse (443434101), we get a palindrome (544868445).

The spelling of 101434344 in words is "one hundred one million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 13249 26498 39747 52996 79494 105992 145739 158988 291478 317976 384221 437217 582956 768442 874434 1152663 1165912 1536884 1748868 2305326 3073768 3497736 4226431 4610652 8452862 9221304 12679293 16905724 25358586 33811448 50717172 101434344