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3482752 = 27713223
BaseRepresentation
bin1101010010010010000000
320112221102211
431102102000
51342422002
6202351504
741413540
oct15222200
96487384
103482752
111a69709
1211bb594
1394c300
14669320
1548bdd7
hex352480

3482752 has 96 divisors (see below), whose sum is σ = 8959680. Its totient is φ = 1317888.

The previous prime is 3482741. The next prime is 3482761. The reversal of 3482752 is 2572843.

It is a super-2 number, since 2×34827522 = 24259122987008, which contains 22 as substring.

Its product of digits (13440) is a multiple of the sum of its prime factors (70).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 151413 + ... + 151435.

It is an arithmetic number, because the mean of its divisors is an integer number (93330).

Almost surely, 23482752 is an apocalyptic number.

3482752 is a gapful number since it is divisible by the number (32) 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 3482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479840).

3482752 is an abundant number, since it is smaller than the sum of its proper divisors (5476928).

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

3482752 is a wasteful number, since it uses less digits than its factorization.

3482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 3482752 is about 1866.2132782723. The cubic root of 3482752 is about 151.5796326047.

Subtracting from 3482752 its reverse (2572843), we obtain a palindrome (909909).

The spelling of 3482752 in words is "three million, four hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 169 182 184 208 224 299 322 338 364 368 416 448 598 644 676 728 736 832 896 1183 1196 1288 1352 1456 1472 1664 2093 2366 2392 2576 2704 2912 2944 3887 4186 4732 4784 5152 5408 5824 7774 8372 9464 9568 10304 10816 11648 15548 16744 18928 19136 20608 21632 27209 31096 33488 37856 38272 54418 62192 66976 75712 108836 124384 133952 151424 217672 248768 267904 435344 497536 870688 1741376 3482752