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3078972 = 2234131743
BaseRepresentation
bin1011101111101100111100
312210102120000
423233230330
51242011342
6145554300
735112411
oct13575474
95712500
103078972
111813306
121045990
1383a5a0
145a2108
1540c44c
hex2efb3c

3078972 has 120 divisors (see below), whose sum is σ = 9391536. Its totient is φ = 870912.

The previous prime is 3078967. The next prime is 3078973. The reversal of 3078972 is 2798703.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3078973) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71583 + ... + 71625.

Almost surely, 23078972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3078972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695768).

3078972 is an abundant number, since it is smaller than the sum of its proper divisors (6312564).

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

3078972 is a wasteful number, since it uses less digits than its factorization.

3078972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3078972 is about 1754.6999743546. The cubic root of 3078972 is about 145.4795379876.

The spelling of 3078972 in words is "three million, seventy-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 43 51 52 54 68 78 81 86 102 108 117 129 153 156 162 172 204 221 234 258 306 324 351 387 442 459 468 516 559 612 663 702 731 774 884 918 1053 1118 1161 1326 1377 1404 1462 1548 1677 1836 1989 2106 2193 2236 2322 2652 2754 2924 3354 3483 3978 4212 4386 4644 5031 5508 5967 6579 6708 6966 7956 8772 9503 10062 11934 13158 13932 15093 17901 19006 19737 20124 23868 26316 28509 30186 35802 38012 39474 45279 57018 59211 60372 71604 78948 85527 90558 114036 118422 171054 181116 236844 256581 342108 513162 769743 1026324 1539486 3078972