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100340016 = 2437298631
BaseRepresentation
bin1011111101100…
…01000100110000
320222210210121220
411332301010300
5201141340031
613542345040
72325606330
oct576610460
9228723556
10100340016
1151703a37
122972b180
1317a324ba
14d47d0c0
158c20596
hex5fb1130

100340016 has 40 divisors (see below), whose sum is σ = 296242944. Its totient is φ = 28668480.

The previous prime is 100340003. The next prime is 100340017. The reversal of 100340016 is 610043001.

It is a junction number, because it is equal to n+sod(n) for n = 100339977 and 100340004.

It is not an unprimeable number, because it can be changed into a prime (100340017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 148980 + ... + 149651.

Almost surely, 2100340016 is an apocalyptic number.

100340016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100340016 is an abundant number, since it is smaller than the sum of its proper divisors (195902928).

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

100340016 is a wasteful number, since it uses less digits than its factorization.

100340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298649 (or 298643 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100340016 is about 10016.9863731563. The cubic root of 100340016 is about 464.6843597322.

Adding to 100340016 its reverse (610043001), we get a palindrome (710383017).

The spelling of 100340016 in words is "one hundred million, three hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 298631 597262 895893 1194524 1791786 2090417 2389048 3583572 4180834 4778096 6271251 7167144 8361668 12542502 14334288 16723336 25085004 33446672 50170008 100340016