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3490848 = 2532172331
BaseRepresentation
bin1101010100010000100000
320120100112200
431110100200
51343201343
6202453200
741446254
oct15242040
96510480
103490848
111a747a9
121204200
13952bba
1466c264
1548e4d3
hex354420

3490848 has 144 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 1013760.

The previous prime is 3490843. The next prime is 3490859. The reversal of 3490848 is 8480943.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3490841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112593 + ... + 112623.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

Almost surely, 23490848 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 3490848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3490848 is an abundant number, since it is smaller than the sum of its proper divisors (7831008).

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

3490848 is a wasteful number, since it uses less digits than its factorization.

3490848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3490848 is about 1868.3811174383. The cubic root of 3490848 is about 151.6969956387.

The spelling of 3490848 in words is "three million, four hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 31 32 34 36 46 48 51 62 68 69 72 92 93 96 102 124 136 138 144 153 184 186 204 207 248 272 276 279 288 306 368 372 391 408 414 496 527 544 552 558 612 713 736 744 782 816 828 992 1054 1104 1116 1173 1224 1426 1488 1564 1581 1632 1656 2108 2139 2208 2232 2346 2448 2852 2976 3128 3162 3312 3519 4216 4278 4464 4692 4743 4896 5704 6256 6324 6417 6624 7038 8432 8556 8928 9384 9486 11408 12121 12512 12648 12834 14076 16864 17112 18768 18972 22816 24242 25296 25668 28152 34224 36363 37536 37944 48484 50592 51336 56304 68448 72726 75888 96968 102672 109089 112608 145452 151776 193936 205344 218178 290904 387872 436356 581808 872712 1163616 1745424 3490848