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103134304 = 25713107331
BaseRepresentation
bin1100010010110…
…11010001100000
321012001202200001
412021123101200
5202400244204
614122305344
72361425050
oct611332140
9235052601
10103134304
1153242369
122a658254
13184a0320
14d9a9560
1590c34a4
hex625b460

103134304 has 96 divisors (see below), whose sum is σ = 252999936. Its totient is φ = 40296960.

The previous prime is 103134293. The next prime is 103134313. The reversal of 103134304 is 403431301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311419 + ... + 311749.

It is an arithmetic number, because the mean of its divisors is an integer number (2635416).

Almost surely, 2103134304 is an apocalyptic number.

103134304 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 103134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126499968).

103134304 is an abundant number, since it is smaller than the sum of its proper divisors (149865632).

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

103134304 is a wasteful number, since it uses less digits than its factorization.

103134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 103134304 is about 10155.5060927558. The cubic root of 103134304 is about 468.9584662325.

Adding to 103134304 its reverse (403431301), we get a palindrome (506565605).

The spelling of 103134304 in words is "one hundred three million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 107 112 182 208 214 224 331 364 416 428 662 728 749 856 1324 1391 1456 1498 1712 2317 2648 2782 2912 2996 3424 4303 4634 5296 5564 5992 8606 9268 9737 10592 11128 11984 17212 18536 19474 22256 23968 30121 34424 35417 37072 38948 44512 60242 68848 70834 74144 77896 120484 137696 141668 155792 240968 247919 283336 311584 460421 481936 495838 566672 920842 963872 991676 1133344 1841684 1983352 3222947 3683368 3966704 6445894 7366736 7933408 12891788 14733472 25783576 51567152 103134304