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76341006 = 2327679043
BaseRepresentation
bin1001000110011…
…01111100001110
312022122112011200
410203031330032
5124020403011
611324130330
71614613350
oct443157416
9168575150
1076341006
113a102145
12216969a6
1312a7bac1
14a1d30d0
156a7e856
hex48cdf0e

76341006 has 48 divisors (see below), whose sum is σ = 191877504. Its totient is φ = 21483792.

The previous prime is 76340911. The next prime is 76341011. The reversal of 76341006 is 60014367.

It is a congruent number.

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, 3921 + ... + 12963.

It is an arithmetic number, because the mean of its divisors is an integer number (3997448).

Almost surely, 276341006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76341006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95938752).

76341006 is an abundant number, since it is smaller than the sum of its proper divisors (115536498).

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

76341006 is a wasteful number, since it uses less digits than its factorization.

76341006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 76341006 is about 8737.3340327585. The cubic root of 76341006 is about 424.2149401192.

The spelling of 76341006 in words is "seventy-six million, three hundred forty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8442 9043 18086 27129 54258 63301 81387 126602 162774 189903 379806 569709 605881 1139418 1211762 1817643 3635286 4241167 5452929 8482334 10905858 12723501 25447002 38170503 76341006