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3074680 = 235779139
BaseRepresentation
bin1011101110101001111000
312210012200001
423232221320
51241342210
6145522344
735064040
oct13565170
95705601
103074680
111810064
1210433b4
1383864b
145a0720
1540b03a
hex2eea78

3074680 has 64 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 1033344.

The previous prime is 3074677. The next prime is 3074681. The reversal of 3074680 is 864703.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22051 + ... + 22189.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 23074680 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 3074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

3074680 is an abundant number, since it is smaller than the sum of its proper divisors (4989320).

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

3074680 is a wasteful number, since it uses less digits than its factorization.

3074680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3074680 is about 1753.4765467493. The cubic root of 3074680 is about 145.4119084311.

The spelling of 3074680 in words is "three million, seventy-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 139 140 158 278 280 316 395 553 556 632 695 790 973 1106 1112 1390 1580 1946 2212 2765 2780 3160 3892 4424 4865 5530 5560 7784 9730 10981 11060 19460 21962 22120 38920 43924 54905 76867 87848 109810 153734 219620 307468 384335 439240 614936 768670 1537340 3074680