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3048960 = 2935397
BaseRepresentation
bin1011101000011000000000
312201220101110
423220120000
51240031320
6145203320
734626045
oct13503000
95656343
103048960
1117a2802
121030540
13829a25
145951cc
154035e0
hex2e8600

3048960 has 80 divisors (see below), whose sum is σ = 9771696. Its totient is φ = 811008.

The previous prime is 3048917. The next prime is 3048971. The reversal of 3048960 is 698403.

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 (30).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7482 + ... + 7878.

Almost surely, 23048960 is an apocalyptic number.

3048960 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 3048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885848).

3048960 is an abundant number, since it is smaller than the sum of its proper divisors (6722736).

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

3048960 is an equidigital number, since it uses as much as digits as its factorization.

3048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3048960 is about 1746.1271431371. The cubic root of 3048960 is about 145.0053109430.

The spelling of 3048960 in words is "three million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 397 480 512 640 768 794 960 1191 1280 1536 1588 1920 1985 2382 2560 3176 3840 3970 4764 5955 6352 7680 7940 9528 11910 12704 15880 19056 23820 25408 31760 38112 47640 50816 63520 76224 95280 101632 127040 152448 190560 203264 254080 304896 381120 508160 609792 762240 1016320 1524480 3048960