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3077676 = 223472359
BaseRepresentation
bin1011101111011000101100
312210100210000
423233120230
51241441201
6145544300
735105550
oct13573054
95710700
103077676
111812338
121045090
13839b14
145a1860
1540bd86
hex2ef62c

3077676 has 120 divisors (see below), whose sum is σ = 9757440. Its totient is φ = 826848.

The previous prime is 3077647. The next prime is 3077681. The reversal of 3077676 is 6767703.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3077676.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52135 + ... + 52193.

It is an arithmetic number, because the mean of its divisors is an integer number (81312).

Almost surely, 23077676 is an apocalyptic number.

3077676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3077676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878720).

3077676 is an abundant number, since it is smaller than the sum of its proper divisors (6679764).

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

3077676 is a wasteful number, since it uses less digits than its factorization.

3077676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 3077676 is about 1754.3306415838. The cubic root of 3077676 is about 145.4591233881.

3077676 divided by its sum of digits (36) gives a triangular number (85491 = T413).

It can be divided in two parts, 307 and 7676, that multiplied together give a palindrome (2356532).

The spelling of 3077676 in words is "three million, seventy-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 59 63 69 81 84 92 108 118 126 138 161 162 177 189 207 236 252 276 322 324 354 378 413 414 483 531 567 621 644 708 756 826 828 966 1062 1134 1239 1242 1357 1449 1593 1652 1863 1932 2124 2268 2478 2484 2714 2898 3186 3717 3726 4071 4347 4779 4956 5428 5796 6372 7434 7452 8142 8694 9499 9558 11151 12213 13041 14868 16284 17388 18998 19116 22302 24426 26082 28497 33453 36639 37996 44604 48852 52164 56994 66906 73278 85491 109917 113988 133812 146556 170982 219834 256473 341964 439668 512946 769419 1025892 1538838 3077676