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3438480 = 243514327
BaseRepresentation
bin1101000111011110010000
320110200201010
431013132100
51340012410
6201410520
741140503
oct15073620
96420633
103438480
111a39421
121199a40
13935106
1465713a
1547dc20
hex347790

3438480 has 40 divisors (see below), whose sum is σ = 10660032. Its totient is φ = 916864.

The previous prime is 3438469. The next prime is 3438511. The reversal of 3438480 is 848343.

3438480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6924 + ... + 7403.

Almost surely, 23438480 is an apocalyptic number.

3438480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3438480 is an abundant number, since it is smaller than the sum of its proper divisors (7221552).

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

3438480 is a wasteful number, since it uses less digits than its factorization.

3438480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14343 (or 14337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3438480 is about 1854.3138892863. The cubic root of 3438480 is about 150.9346090561.

The spelling of 3438480 in words is "three million, four hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14327 28654 42981 57308 71635 85962 114616 143270 171924 214905 229232 286540 343848 429810 573080 687696 859620 1146160 1719240 3438480