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3076480 = 275111923
BaseRepresentation
bin1011101111000110000000
312210022010201
423233012000
51241421410
6145534544
735102221
oct13570600
95708121
103076480
111811450
121044454
13839404
145a1248
1540b83a
hex2ef180

3076480 has 128 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1013760.

The previous prime is 3076433. The next prime is 3076483. The reversal of 3076480 is 846703.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3076483) 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, 133749 + ... + 133771.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

Almost surely, 23076480 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 3076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3076480 is an abundant number, since it is smaller than the sum of its proper divisors (5736320).

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

3076480 is a wasteful number, since it uses less digits than its factorization.

3076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3076480 is about 1753.9897377123. The cubic root of 3076480 is about 145.4402789038.

The spelling of 3076480 in words is "three million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 23 32 38 40 44 46 55 64 76 80 88 92 95 110 115 128 152 160 176 184 190 209 220 230 253 304 320 352 368 380 418 437 440 460 506 608 640 704 736 760 836 874 880 920 1012 1045 1216 1265 1408 1472 1520 1672 1748 1760 1840 2024 2090 2185 2432 2530 2944 3040 3344 3496 3520 3680 4048 4180 4370 4807 5060 6080 6688 6992 7040 7360 8096 8360 8740 9614 10120 12160 13376 13984 14720 16192 16720 17480 19228 20240 24035 26752 27968 32384 33440 34960 38456 40480 48070 55936 66880 69920 76912 80960 96140 133760 139840 153824 161920 192280 279680 307648 384560 615296 769120 1538240 3076480