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102344310 = 2365101139
BaseRepresentation
bin1100001100110…
…10011001110110
321010120122000000
412012122121312
5202200004220
614053332130
72351624625
oct606323166
9233518000
10102344310
1152852882
122a337046
1318284883
14d8416bc
158eb9390
hex619a676

102344310 has 112 divisors (see below), whose sum is σ = 280944720. Its totient is φ = 26827200.

The previous prime is 102344303. The next prime is 102344329. The reversal of 102344310 is 13443201.

102344310 is a `hidden beast` number, since 1 + 0 + 234 + 431 + 0 = 666.

It is a super-2 number, since 2×1023443102 = 20948715578752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 736221 + ... + 736359.

It is an arithmetic number, because the mean of its divisors is an integer number (2508435).

Almost surely, 2102344310 is an apocalyptic number.

102344310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102344310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140472360).

102344310 is an abundant number, since it is smaller than the sum of its proper divisors (178600410).

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

102344310 is a wasteful number, since it uses less digits than its factorization.

102344310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102344310 is about 10116.5364626437. The cubic root of 102344310 is about 467.7580109909.

Adding to 102344310 its reverse (13443201), we get a palindrome (115787511).

The spelling of 102344310 in words is "one hundred two million, three hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 139 162 202 243 270 278 303 405 417 486 505 606 695 729 810 834 909 1010 1215 1251 1390 1458 1515 1818 2085 2430 2502 2727 3030 3645 3753 4170 4545 5454 6255 7290 7506 8181 9090 11259 12510 13635 14039 16362 18765 22518 24543 27270 28078 33777 37530 40905 42117 49086 56295 67554 70195 73629 81810 84234 101331 112590 122715 126351 140390 147258 168885 202662 210585 245430 252702 337770 368145 379053 421170 506655 631755 736290 758106 1013310 1137159 1263510 1895265 2274318 3411477 3790530 5685795 6822954 10234431 11371590 17057385 20468862 34114770 51172155 102344310