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103434400 = 2552129293
BaseRepresentation
bin1100010101001…
…00100010100000
321012122000022201
412022210202200
5202434400100
614132542544
72364115006
oct612444240
9235560281
10103434400
1153427883
122a781a54
1318576ab4
14da46a76
15913236a
hex62a48a0

103434400 has 36 divisors (see below), whose sum is σ = 252511182. Its totient is φ = 41373440.

The previous prime is 103434379. The next prime is 103434407. The reversal of 103434400 is 4434301.

It can be written as a sum of positive squares in 3 ways, for example, as 70761744 + 32672656 = 8412^2 + 5716^2 .

It is not an unprimeable number, because it can be changed into a prime (103434407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63847 + ... + 65446.

Almost surely, 2103434400 is an apocalyptic number.

103434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103434400 is an abundant number, since it is smaller than the sum of its proper divisors (149076782).

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

103434400 is a wasteful number, since it uses less digits than its factorization.

103434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129313 (or 129300 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 103434400 is about 10170.2703995518. The cubic root of 103434400 is about 469.4128778601.

Adding to 103434400 its reverse (4434301), we get a palindrome (107868701).

Subtracting from 103434400 its reverse (4434301), we obtain a palindrome (99000099).

The spelling of 103434400 in words is "one hundred three million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 129293 258586 517172 646465 1034344 1292930 2068688 2585860 3232325 4137376 5171720 6464650 10343440 12929300 20686880 25858600 51717200 103434400