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3427974 = 2331129199
BaseRepresentation
bin1101000100111010000110
320110011022000
431010322012
51334143344
6201250130
741065044
oct15047206
96404260
103427974
111a31540
121193946
139303b4
14653394
1547aa69
hex344e86

3427974 has 64 divisors (see below), whose sum is σ = 8640000. Its totient is φ = 997920.

The previous prime is 3427973. The next prime is 3427981. The reversal of 3427974 is 4797243.

3427974 = T77 + T78 + ... + T275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17127 + ... + 17325.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

Almost surely, 23427974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320000).

3427974 is an abundant number, since it is smaller than the sum of its proper divisors (5212026).

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

3427974 is a wasteful number, since it uses less digits than its factorization.

3427974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3427974 is about 1851.4788683644. The cubic root of 3427974 is about 150.7807293610.

The spelling of 3427974 in words is "three million, four hundred twenty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 199 261 297 319 398 522 594 597 638 783 957 1194 1566 1791 1914 2189 2871 3582 4378 5373 5742 5771 6567 8613 10746 11542 13134 17226 17313 19701 34626 39402 51939 59103 63481 103878 118206 126962 155817 190443 311634 380886 571329 1142658 1713987 3427974