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830505276 = 2232191214189
BaseRepresentation
bin110001100000001…
…000000100111100
32010212202001001200
4301200020010330
53200102132101
6214224335500
726403115116
oct6140100474
92125661050
10830505276
113968869a7
121b2174590
131030a3b53
147c42a3b6
154cda0986
hex3180813c

830505276 has 36 divisors (see below), whose sum is σ = 2209825800. Its totient is φ = 262264608.

The previous prime is 830505271. The next prime is 830505281. The reversal of 830505276 is 672505038.

830505276 is a `hidden beast` number, since 83 + 0 + 50 + 527 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (830505271) and next prime (830505281).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 830505276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830505271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 606411 + ... + 607778.

It is an arithmetic number, because the mean of its divisors is an integer number (61384050).

Almost surely, 2830505276 is an apocalyptic number.

It is an amenable number.

830505276 is an abundant number, since it is smaller than the sum of its proper divisors (1379320524).

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

830505276 is a wasteful number, since it uses less digits than its factorization.

830505276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214218 (or 1214213 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 830505276 is about 28818.4884405827. The cubic root of 830505276 is about 939.9703008574.

The spelling of 830505276 in words is "eight hundred thirty million, five hundred five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1214189 2428378 3642567 4856756 7285134 10927701 14570268 21855402 23069591 43710804 46139182 69208773 92278364 138417546 207626319 276835092 415252638 830505276