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3475480 = 2351719269
BaseRepresentation
bin1101010000100000011000
320112120110111
431100200120
51342203410
6202254104
741353411
oct15204030
96476414
103475480
111a641a8
1211b7334
13948bc8
14666808
15489b8a
hex350818

3475480 has 64 divisors (see below), whose sum is σ = 8748000. Its totient is φ = 1234944.

The previous prime is 3475477. The next prime is 3475489. The reversal of 3475480 is 845743.

3475480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34754802 = 24157922460800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3475489) 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 15 ways as a sum of consecutive naturals, for example, 12786 + ... + 13054.

Almost surely, 23475480 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 3475480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374000).

3475480 is an abundant number, since it is smaller than the sum of its proper divisors (5272520).

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

3475480 is a wasteful number, since it uses less digits than its factorization.

3475480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

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

The square root of 3475480 is about 1864.2639298125. The cubic root of 3475480 is about 151.4740594666.

The spelling of 3475480 in words is "three million, four hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 269 323 340 380 538 646 680 760 1076 1292 1345 1615 2152 2584 2690 3230 4573 5111 5380 6460 9146 10222 10760 12920 18292 20444 22865 25555 36584 40888 45730 51110 86887 91460 102220 173774 182920 204440 347548 434435 695096 868870 1737740 3475480