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3129480 = 233258693
BaseRepresentation
bin1011111100000010001000
312212222211200
423330002020
51300120410
6151024200
735412564
oct13740210
95788750
103129480
111848252
12106b060
13857583
145b66a4
1541c3c0
hex2fc088

3129480 has 48 divisors (see below), whose sum is σ = 10171980. Its totient is φ = 834432.

The previous prime is 3129463. The next prime is 3129487. The reversal of 3129480 is 849213.

It can be written as a sum of positive squares in 2 ways, for example, as 2762244 + 367236 = 1662^2 + 606^2 .

It is not an unprimeable number, because it can be changed into a prime (3129487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3987 + ... + 4706.

Almost surely, 23129480 is an apocalyptic number.

3129480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3129480 is an abundant number, since it is smaller than the sum of its proper divisors (7042500).

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

3129480 is a wasteful number, since it uses less digits than its factorization.

3129480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3129480 is about 1769.0336345022. The cubic root of 3129480 is about 146.2707180818.

The spelling of 3129480 in words is "three million, one hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8693 17386 26079 34772 43465 52158 69544 78237 86930 104316 130395 156474 173860 208632 260790 312948 347720 391185 521580 625896 782370 1043160 1564740 3129480