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102343400 = 23521731971
BaseRepresentation
bin1100001100110…
…10001011101000
321010120120202022
412012122023220
5202144442100
614053324012
72351622155
oct606321350
9233516668
10102343400
1152852125
122a336608
1318284333
14d84122c
158eb8e85
hex619a2e8

102343400 has 96 divisors (see below), whose sum is σ = 260340480. Its totient is φ = 37248000.

The previous prime is 102343387. The next prime is 102343411. The reversal of 102343400 is 4343201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104915 + ... + 105885.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2102343400 is an apocalyptic number.

102343400 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 102343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130170240).

102343400 is an abundant number, since it is smaller than the sum of its proper divisors (157997080).

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

102343400 is a wasteful number, since it uses less digits than its factorization.

102343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

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

The square root of 102343400 is about 10116.4914866766. The cubic root of 102343400 is about 467.7566246215.

Adding to 102343400 its reverse (4343201), we get a palindrome (106686601).

The spelling of 102343400 in words is "one hundred two million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 310 340 425 527 620 680 775 850 971 1054 1240 1550 1700 1942 2108 2635 3100 3400 3884 4216 4855 5270 6200 7768 9710 10540 13175 16507 19420 21080 24275 26350 30101 33014 38840 48550 52700 60202 66028 82535 97100 105400 120404 132056 150505 165070 194200 240808 301010 330140 412675 511717 602020 660280 752525 825350 1023434 1204040 1505050 1650700 2046868 2558585 3010100 3301400 4093736 5117170 6020200 10234340 12792925 20468680 25585850 51171700 102343400