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3484296 = 233419283
BaseRepresentation
bin1101010010101010001000
320120000120000
431102222020
51342444141
6202403000
741421204
oct15225210
96500500
103484296
111a6a892
121200460
1394cc1a
14669b04
1548c5b6
hex352a88

3484296 has 80 divisors (see below), whose sum is σ = 10309200. Its totient is φ = 1096416.

The previous prime is 3484279. The next prime is 3484297. The reversal of 3484296 is 6924843.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3484296.

It is not an unprimeable number, because it can be changed into a prime (3484297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12171 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (128865).

Almost surely, 23484296 is an apocalyptic number.

3484296 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 3484296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154600).

3484296 is an abundant number, since it is smaller than the sum of its proper divisors (6824904).

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

3484296 is a wasteful number, since it uses less digits than its factorization.

3484296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3484296 is about 1866.6269043384. The cubic root of 3484296 is about 151.6020291057.

The spelling of 3484296 in words is "three million, four hundred eighty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 283 324 342 456 513 566 648 684 849 1026 1132 1368 1539 1698 2052 2264 2547 3078 3396 4104 5094 5377 6156 6792 7641 10188 10754 12312 15282 16131 20376 21508 22923 30564 32262 43016 45846 48393 61128 64524 91692 96786 129048 145179 183384 193572 290358 387144 435537 580716 871074 1161432 1742148 3484296