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101998344 = 23373761269
BaseRepresentation
bin1100001010001…
…01111100001000
321002221001102110
412011011330020
5202102421334
614042102320
72345654160
oct605057410
9232831373
10101998344
1152636958
122a1aa9a0
1318193266
14d7915a0
158e4bae9
hex6145f08

101998344 has 128 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 27786240.

The previous prime is 101998343. The next prime is 101998409. The reversal of 101998344 is 443899101.

It is not an unprimeable number, because it can be changed into a prime (101998343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 379042 + ... + 379310.

It is an arithmetic number, because the mean of its divisors is an integer number (2385450).

Almost surely, 2101998344 is an apocalyptic number.

101998344 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 101998344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

101998344 is an abundant number, since it is smaller than the sum of its proper divisors (203339256).

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

101998344 is a wasteful number, since it uses less digits than its factorization.

101998344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 101998344 is about 10099.4229538128. The cubic root of 101998344 is about 467.2303442675.

The spelling of 101998344 in words is "one hundred one million, nine hundred ninety-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 61 74 84 111 122 148 168 183 222 244 259 269 296 366 427 444 488 518 538 732 777 807 854 888 1036 1076 1281 1464 1554 1614 1708 1883 2072 2152 2257 2562 3108 3228 3416 3766 4514 5124 5649 6216 6456 6771 7532 9028 9953 10248 11298 13542 15064 15799 16409 18056 19906 22596 27084 29859 31598 32818 39812 45192 47397 49227 54168 59718 63196 65636 69671 79624 94794 98454 114863 119436 126392 131272 139342 189588 196908 209013 229726 238872 278684 344589 379176 393816 418026 459452 557368 607133 689178 836052 918904 1214266 1378356 1672104 1821399 2428532 2756712 3642798 4249931 4857064 7285596 8499862 12749793 14571192 16999724 25499586 33999448 50999172 101998344