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634506145 = 57213732729
BaseRepresentation
bin100101110100011…
…100101110100001
31122012221020210121
4211310130232201
52244413144040
6142543400241
721503133100
oct4564345641
91565836717
10634506145
112a6186949
121585b3081
13a15ba930
14603aa037
153aa86c4a
hex25d1cba1

634506145 has 48 divisors (see below), whose sum is σ = 967271760. Its totient is φ = 395974656.

The previous prime is 634506143. The next prime is 634506161. The reversal of 634506145 is 541605436.

634506145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2637376 + 631868769 = 1624^2 + 25137^2 .

It is not a de Polignac number, because 634506145 - 21 = 634506143 is a prime.

It is a super-2 number, since 2×6345061452 = 805196096085522050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 634506145.

It is not an unprimeable number, because it can be changed into a prime (634506143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231141 + ... + 233869.

It is an arithmetic number, because the mean of its divisors is an integer number (20151495).

Almost surely, 2634506145 is an apocalyptic number.

634506145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

634506145 is a deficient number, since it is larger than the sum of its proper divisors (332765615).

634506145 is a wasteful number, since it uses less digits than its factorization.

634506145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 634506145 is about 25189.4054117996. The cubic root of 634506145 is about 859.3009214294.

The spelling of 634506145 in words is "six hundred thirty-four million, five hundred six thousand, one hundred forty-five".

Divisors: 1 5 7 13 35 49 65 73 91 245 365 455 511 637 949 2555 2729 3185 3577 4745 6643 13645 17885 19103 33215 35477 46501 95515 133721 177385 199217 232505 248339 668605 996085 1241695 1394519 1738373 2589821 6972595 8691865 9761633 12949105 18128747 48808165 90643735 126901229 634506145