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34024346145 = 3253121242261
BaseRepresentation
bin11111101100000000…
…100101001000100001
310020211012210212110100
4133230000211020201
51024140213034040
623344111453013
72313104112306
oct375400451041
9106735725410
1034024346145
111347a946939
126716827169
13329305c1ca
14190aad90ad
15d420acb30
hex7ec025221

34024346145 has 24 divisors (see below), whose sum is σ = 58994673192. Its totient is φ = 18140428800.

The previous prime is 34024346137. The next prime is 34024346189. The reversal of 34024346145 is 54164342043.

34024346145 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 4 + 34 + 614 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3132417024 + 30891929121 = 55968^2 + 175761^2 .

It is not a de Polignac number, because 34024346145 - 23 = 34024346137 is a prime.

It is a super-2 number, since 2×340243461452 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19315 + ... + 261575.

It is an arithmetic number, because the mean of its divisors is an integer number (2458111383).

Almost surely, 234024346145 is an apocalyptic number.

It is an amenable number.

34024346145 is a deficient number, since it is larger than the sum of its proper divisors (24970327047).

34024346145 is a wasteful number, since it uses less digits than its factorization.

34024346145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245393 (or 245390 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 34024346145 its reverse (54164342043), we get a palindrome (88188688188).

The spelling of 34024346145 in words is "thirty-four billion, twenty-four million, three hundred forty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 3121 9363 15605 28089 46815 140445 242261 726783 1211305 2180349 3633915 10901745 756096581 2268289743 3780482905 6804869229 11341448715 34024346145