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3004331520 = 29353112619
BaseRepresentation
bin1011001100010010…
…0111011000000000
321202101011212001210
42303010213120000
522123102102040
61214041130120
7134310253011
oct26304473000
97671155053
103004331520
111301959813
126ba189940
1338b56cc78
14207013008
15128b4c480
hexb3127600

3004331520 has 160 divisors (see below), whose sum is σ = 9915079680. Its totient is φ = 775249920.

The previous prime is 3004331483. The next prime is 3004331537. The reversal of 3004331520 is 251334003.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231771 + ... + 244389.

It is an arithmetic number, because the mean of its divisors is an integer number (61969248).

Almost surely, 23004331520 is an apocalyptic number.

3004331520 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 3004331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957539840).

3004331520 is an abundant number, since it is smaller than the sum of its proper divisors (6910748160).

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

3004331520 is a wasteful number, since it uses less digits than its factorization.

3004331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12676 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3004331520 is about 54811.7826748957. The cubic root of 3004331520 is about 1442.9433623794.

Adding to 3004331520 its reverse (251334003), we get a palindrome (3255665523).

The spelling of 3004331520 in words is "three billion, four million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 512 620 640 744 768 930 960 992 1240 1280 1488 1536 1860 1920 1984 2480 2560 2976 3720 3840 3968 4960 5952 7440 7680 7936 9920 11904 12619 14880 15872 19840 23808 25238 29760 37857 39680 47616 50476 59520 63095 75714 79360 100952 119040 126190 151428 189285 201904 238080 252380 302856 378570 391189 403808 504760 605712 757140 782378 807616 1009520 1173567 1211424 1514280 1564756 1615232 1955945 2019040 2347134 2422848 3028560 3129512 3230464 3911890 4038080 4694268 4845696 5867835 6057120 6259024 6460928 7823780 8076160 9388536 9691392 11735670 12114240 12518048 15647560 16152320 18777072 19382784 23471340 24228480 25036096 31295120 32304640 37554144 46942680 48456960 50072192 62590240 75108288 93885360 96913920 100144384 125180480 150216576 187770720 200288768 250360960 300433152 375541440 500721920 600866304 751082880 1001443840 1502165760 3004331520