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102349044 = 223272173413
BaseRepresentation
bin1100001100110…
…11100011110100
321010120212111100
412012123203310
5202200132134
614053410100
72351644500
oct606334364
9233525440
10102349044
1152856396
122a339930
1318286a85
14d843300
158eba999
hex619b8f4

102349044 has 108 divisors (see below), whose sum is σ = 318751524. Its totient is φ = 27514368.

The previous prime is 102349019. The next prime is 102349063. The reversal of 102349044 is 440943201.

It can be written as a sum of positive squares in 2 ways, for example, as 89302500 + 13046544 = 9450^2 + 3612^2 .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 102348999 and 102349017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28282 + ... + 31694.

It is an arithmetic number, because the mean of its divisors is an integer number (2951403).

Almost surely, 2102349044 is an apocalyptic number.

102349044 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 102349044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159375762).

102349044 is an abundant number, since it is smaller than the sum of its proper divisors (216402480).

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

102349044 is a wasteful number, since it uses less digits than its factorization.

102349044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102349044 is about 10116.7704332954. The cubic root of 102349044 is about 467.7652230260.

The spelling of 102349044 in words is "one hundred two million, three hundred forty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 3413 4284 4998 6826 7497 9996 10239 13652 14994 20478 23891 29988 30717 40956 47782 58021 61434 71673 95564 116042 122868 143346 167237 174063 215019 232084 286692 334474 348126 406147 430038 501711 522189 668948 696252 812294 860076 1003422 1044378 1218441 1505133 1624588 2006844 2088756 2436882 2843029 3010266 3655323 4873764 5686058 6020532 7310646 8529087 11372116 14621292 17058174 25587261 34116348 51174522 102349044