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3450480 = 2435111307
BaseRepresentation
bin1101001010011001110000
320111022011120
431022121300
51340403410
6201542240
741220465
oct15123160
96438146
103450480
111a47440
1211a4980
1393a707
1465b66c
15482570
hex34a670

3450480 has 80 divisors (see below), whose sum is σ = 11677824. Its totient is φ = 835840.

The previous prime is 3450467. The next prime is 3450487. The reversal of 3450480 is 840543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3450480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 3293.

Almost surely, 23450480 is an apocalyptic number.

3450480 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 3450480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838912).

3450480 is an abundant number, since it is smaller than the sum of its proper divisors (8227344).

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

3450480 is a wasteful number, since it uses less digits than its factorization.

3450480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3450480 is about 1857.5467692632. The cubic root of 3450480 is about 151.1099881372.

The spelling of 3450480 in words is "three million, four hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1307 1320 2614 2640 3921 5228 6535 7842 10456 13070 14377 15684 19605 20912 26140 28754 31368 39210 43131 52280 57508 62736 71885 78420 86262 104560 115016 143770 156840 172524 215655 230032 287540 313680 345048 431310 575080 690096 862620 1150160 1725240 3450480