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103400232 = 233131811831
BaseRepresentation
bin1100010100111…
…00001100101000
321012120021110020
412022130030220
5202432301412
614132120440
72363613255
oct612341450
9235507406
10103400232
1153404141
122a766120
1318564390
14da3842c
15912718c
hex629c328

103400232 has 64 divisors (see below), whose sum is σ = 280076160. Its totient is φ = 31622400.

The previous prime is 103400161. The next prime is 103400233. The reversal of 103400232 is 232004301.

It is not an unprimeable number, because it can be changed into a prime (103400233) by changing a digit.

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, 55557 + ... + 57387.

It is an arithmetic number, because the mean of its divisors is an integer number (4376190).

Almost surely, 2103400232 is an apocalyptic number.

103400232 is a gapful number since it is divisible by the number (12) 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 103400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140038080).

103400232 is an abundant number, since it is smaller than the sum of its proper divisors (176675928).

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

103400232 is a wasteful number, since it uses less digits than its factorization.

103400232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 103400232 is about 10168.5904627928. The cubic root of 103400232 is about 469.3611843371.

Adding to 103400232 its reverse (232004301), we get a palindrome (335404533).

The spelling of 103400232 in words is "one hundred three million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 181 312 362 543 724 1086 1448 1831 2172 2353 3662 4344 4706 5493 7059 7324 9412 10986 14118 14648 18824 21972 23803 28236 43944 47606 56472 71409 95212 142818 190424 285636 331411 571272 662822 994233 1325644 1988466 2651288 3976932 4308343 7953864 8616686 12925029 17233372 25850058 34466744 51700116 103400232