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3007480 = 235723467
BaseRepresentation
bin1011011110001111111000
312122210111011
423132033320
51232214410
6144243304
734364110
oct13361770
95583434
103007480
111774623
121010534
13813b98
14584040
153e618a
hex2de3f8

3007480 has 64 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 984192.

The previous prime is 3007469. The next prime is 3007481. The reversal of 3007480 is 847003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007481) 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, 6207 + ... + 6673.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

Almost surely, 23007480 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 3007480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043520).

3007480 is an abundant number, since it is smaller than the sum of its proper divisors (5079560).

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

3007480 is a wasteful number, since it uses less digits than its factorization.

3007480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 3007480 is about 1734.2087532936. The cubic root of 3007480 is about 144.3447245100.

The spelling of 3007480 in words is "three million, seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 467 644 805 920 934 1288 1610 1868 2335 3220 3269 3736 4670 6440 6538 9340 10741 13076 16345 18680 21482 26152 32690 42964 53705 65380 75187 85928 107410 130760 150374 214820 300748 375935 429640 601496 751870 1503740 3007480