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76344630 = 23531103797
BaseRepresentation
bin1001000110011…
…10110100110110
312022122201010220
410203032310312
5124021012010
611324155210
71614630045
oct443166466
9168581126
1076344630
113a10493a
1221698b06
1312a8064b
14a1d455c
156a80970
hex48ced36

76344630 has 64 divisors (see below), whose sum is σ = 191213568. Its totient is φ = 19486080.

The previous prime is 76344589. The next prime is 76344647. The reversal of 76344630 is 3644367.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 76344591 and 76344600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95392 + ... + 96188.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 276344630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76344630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95606784).

76344630 is an abundant number, since it is smaller than the sum of its proper divisors (114868938).

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

76344630 is a wasteful number, since it uses less digits than its factorization.

76344630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941.

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 76344630 is about 8737.5414162109. The cubic root of 76344630 is about 424.2216526786.

Adding to 76344630 its reverse (3644367), we get a palindrome (79988997).

The spelling of 76344630 in words is "seventy-six million, three hundred forty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 103 155 186 206 309 310 465 515 618 797 930 1030 1545 1594 2391 3090 3193 3985 4782 6386 7970 9579 11955 15965 19158 23910 24707 31930 47895 49414 74121 82091 95790 123535 148242 164182 246273 247070 370605 410455 492546 741210 820910 1231365 2462730 2544821 5089642 7634463 12724105 15268926 25448210 38172315 76344630