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102034340 = 225172127139
BaseRepresentation
bin1100001010011…
…10101110100100
321002222212210122
412011032232210
5202110044330
614042541112
72346164132
oct605165644
9232885718
10102034340
1152660a01
122a207798
13181a6765
14d7a0752
158e575e5
hex614eba4

102034340 has 72 divisors (see below), whose sum is σ = 231060480. Its totient is φ = 37836288.

The previous prime is 102034327. The next prime is 102034349. The reversal of 102034340 is 43430201.

It is a super-2 number, since 2×1020343402 = 20822013078471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (102034349) 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 23 ways as a sum of consecutive naturals, for example, 733991 + ... + 734129.

Almost surely, 2102034340 is an apocalyptic number.

102034340 is a gapful number since it is divisible by the number (10) 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 102034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115530240).

102034340 is an abundant number, since it is smaller than the sum of its proper divisors (129026140).

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

102034340 is a wasteful number, since it uses less digits than its factorization.

102034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 102034340 is about 10101.2048786271. The cubic root of 102034340 is about 467.2853008637.

Adding to 102034340 its reverse (43430201), we get a palindrome (145464541).

The spelling of 102034340 in words is "one hundred two million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 139 170 254 278 289 340 508 556 578 635 695 1156 1270 1390 1445 2159 2363 2540 2780 2890 4318 4726 5780 8636 9452 10795 11815 17653 21590 23630 35306 36703 40171 43180 47260 70612 73406 80342 88265 146812 160684 176530 183515 200855 300101 353060 367030 401710 600202 734060 803420 1200404 1500505 3001010 5101717 6002020 10203434 20406868 25508585 51017170 102034340