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34445244100 = 2252344452441
BaseRepresentation
bin100000000101000110…
…001011011011000100
310021220112210200220111
4200011012023123010
51031020440302400
623453545042404
72326404513121
oct400506133304
9107815720814
1034445244100
1113676495793
126813786404
13332c309857
14194a97d748
15d68eed3ba
hex80518b6c4

34445244100 has 18 divisors (see below), whose sum is σ = 74746179914. Its totient is φ = 13778097600.

The previous prime is 34445244089. The next prime is 34445244101. The reversal of 34445244100 is 144254443.

It can be written as a sum of positive squares in 3 ways, for example, as 3771925056 + 30673319044 = 61416^2 + 175138^2 .

It is a super-2 number, since 2×344452441002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34445244101) 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 5 ways as a sum of consecutive naturals, for example, 172226121 + ... + 172226320.

Almost surely, 234445244100 is an apocalyptic number.

It is an amenable number.

34445244100 is an abundant number, since it is smaller than the sum of its proper divisors (40300935814).

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

34445244100 is a wasteful number, since it uses less digits than its factorization.

34445244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344452455 (or 344452448 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 34445244100 its reverse (144254443), we get a palindrome (34589498543).

The spelling of 34445244100 in words is "thirty-four billion, four hundred forty-five million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 344452441 688904882 1377809764 1722262205 3444524410 6889048820 8611311025 17222622050 34445244100