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103402404 = 223271812267
BaseRepresentation
bin1100010100111…
…00101110100100
321012120101102200
412022130232210
5202432334104
614132134500
72363622510
oct612345644
9235511380
10103402404
1153405836
122a767430
1318565371
14da39140
159127b39
hex629cba4

103402404 has 72 divisors (see below), whose sum is σ = 300500928. Its totient is φ = 29367360.

The previous prime is 103402379. The next prime is 103402433. The reversal of 103402404 is 404204301.

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

It is an unprimeable number.

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, 44479 + ... + 46745.

It is an arithmetic number, because the mean of its divisors is an integer number (4173624).

Almost surely, 2103402404 is an apocalyptic number.

103402404 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 103402404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150250464).

103402404 is an abundant number, since it is smaller than the sum of its proper divisors (197098524).

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

103402404 is a wasteful number, since it uses less digits than its factorization.

103402404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 103402404 is about 10168.6972616948. The cubic root of 103402404 is about 469.3644707429.

Adding to 103402404 its reverse (404204301), we get a palindrome (507606705).

The spelling of 103402404 in words is "one hundred three million, four hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 181 252 362 543 724 1086 1267 1629 2172 2267 2534 3258 3801 4534 5068 6516 6801 7602 9068 11403 13602 15204 15869 20403 22806 27204 31738 40806 45612 47607 63476 81612 95214 142821 190428 285642 410327 571284 820654 1230981 1641308 2461962 2872289 3692943 4923924 5744578 7385886 8616867 11489156 14771772 17233734 25850601 34467468 51701202 103402404