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3489480 = 23355359
BaseRepresentation
bin1101010011111011001000
320120021200000
431103323020
51343130410
6202443000
741442261
oct15237310
96507600
103489480
111a73775
121203460
139523a7
1466b968
1548ddc0
hex353ec8

3489480 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 927936.

The previous prime is 3489463. The next prime is 3489481. The reversal of 3489480 is 849843.

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 (3489481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9541 + ... + 9899.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 23489480 is an apocalyptic number.

3489480 is a gapful number since it is divisible by the number (30) 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 3489480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3489480 is an abundant number, since it is smaller than the sum of its proper divisors (8304120).

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

3489480 is a wasteful number, since it uses less digits than its factorization.

3489480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

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

The square root of 3489480 is about 1868.0149892332. The cubic root of 3489480 is about 151.6771772828.

It can be divided in two parts, 3489 and 480, that added together give a square (3969 = 632).

The spelling of 3489480 in words is "three million, four hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 359 360 405 486 540 648 718 810 972 1077 1080 1215 1436 1620 1795 1944 2154 2430 2872 3231 3240 3590 4308 4860 5385 6462 7180 8616 9693 9720 10770 12924 14360 16155 19386 21540 25848 29079 32310 38772 43080 48465 58158 64620 77544 87237 96930 116316 129240 145395 174474 193860 232632 290790 348948 387720 436185 581580 697896 872370 1163160 1744740 3489480