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3004025440 = 255131579199
BaseRepresentation
bin1011001100001101…
…1100101001100000
321202100121022012111
42303003130221200
522123012303230
61214030405104
7134304536443
oct26303345140
97670538174
103004025440
11130176a859
126ba060794
1338b493860
14206d7365a
15128adb92a
hexb30dca60

3004025440 has 96 divisors (see below), whose sum is σ = 7692451200. Its totient is φ = 1101993984.

The previous prime is 3004025413. The next prime is 3004025461. The reversal of 3004025440 is 445204003.

It is a happy number.

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, 321961 + ... + 331159.

It is an arithmetic number, because the mean of its divisors is an integer number (80129700).

Almost surely, 23004025440 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 3004025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846225600).

3004025440 is an abundant number, since it is smaller than the sum of its proper divisors (4688425760).

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

3004025440 is a wasteful number, since it uses less digits than its factorization.

3004025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9384 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 3004025440 is about 54808.9905033837. The cubic root of 3004025440 is about 1442.8943585660.

Adding to 3004025440 its reverse (445204003), we get a palindrome (3449229443).

The spelling of 3004025440 in words is "three billion, four million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 157 160 208 260 314 416 520 628 785 1040 1256 1570 2041 2080 2512 3140 4082 5024 6280 8164 9199 10205 12560 16328 18398 20410 25120 32656 36796 40820 45995 65312 73592 81640 91990 119587 147184 163280 183980 239174 294368 326560 367960 478348 597935 735920 956696 1195870 1444243 1471840 1913392 2391740 2888486 3826784 4783480 5776972 7221215 9566960 11553944 14442430 18775159 19133920 23107888 28884860 37550318 46215776 57769720 75100636 93875795 115539440 150201272 187751590 231078880 300402544 375503180 600805088 751006360 1502012720 3004025440