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3145099320 = 2333511264739
BaseRepresentation
bin1011101101110110…
…0110100000111000
322010012001121012000
42323131212200320
522420121134240
61240030221000
7140636621526
oct27335464070
98105047160
103145099320
111374365740
12739354760
133b178891c
1421b9b7316
151361a6430
hexbb766838

3145099320 has 128 divisors (see below), whose sum is σ = 11436768000. Its totient is φ = 762445440.

The previous prime is 3145099291. The next prime is 3145099367. The reversal of 3145099320 is 239905413.

It is a happy number.

It is a super-3 number, since 3×31450993203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120490 + ... + 144249.

It is an arithmetic number, because the mean of its divisors is an integer number (89349750).

Almost surely, 23145099320 is an apocalyptic number.

3145099320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145099320 is an abundant number, since it is smaller than the sum of its proper divisors (8291668680).

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

3145099320 is a wasteful number, since it uses less digits than its factorization.

3145099320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264770 (or 264760 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3145099320 is about 56081.1850802031. The cubic root of 3145099320 is about 1465.1366139729.

The spelling of 3145099320 in words is "three billion, one hundred forty-five million, ninety-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 264739 529478 794217 1058956 1323695 1588434 2117912 2382651 2647390 2912129 3176868 3971085 4765302 5294780 5824258 6353736 7147953 7942170 8736387 9530604 10589560 11648516 11913255 14295906 14560645 15884340 17472774 19061208 23297032 23826510 26209161 28591812 29121290 31768680 34945548 35739765 43681935 47653020 52418322 57183624 58242580 69891096 71479530 78627483 87363870 95306040 104836644 116485160 131045805 142959060 157254966 174727740 209673288 262091610 285918120 314509932 349455480 393137415 524183220 629019864 786274830 1048366440 1572549660 3145099320