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2933084352 = 263114332297
BaseRepresentation
bin1010111011010011…
…0101000011000000
321120102010010022210
42232310311003000
522001332144402
61203014102120
7132453543222
oct25664650300
97512103283
102933084352
111275716760
1269a34a940
13379885893
141db788412
1512277706c
hexaed350c0

2933084352 has 112 divisors (see below), whose sum is σ = 8663098752. Its totient is φ = 868116480.

The previous prime is 2933084347. The next prime is 2933084377. The reversal of 2933084352 is 2534803392.

It is a self number, because there is not a number n which added to its sum of digits gives 2933084352.

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, 74668 + ... + 106964.

It is an arithmetic number, because the mean of its divisors is an integer number (77349096).

Almost surely, 22933084352 is an apocalyptic number.

2933084352 is a gapful number since it is divisible by the number (22) 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 2933084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331549376).

2933084352 is an abundant number, since it is smaller than the sum of its proper divisors (5730014400).

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

2933084352 is a wasteful number, since it uses less digits than its factorization.

2933084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32366 (or 32356 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2933084352 is about 54157.9574208629. The cubic root of 2933084352 is about 1431.4456100196.

The spelling of 2933084352 in words is "two billion, nine hundred thirty-three million, eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 129 132 172 176 192 258 264 344 352 473 516 528 688 704 946 1032 1056 1376 1419 1892 2064 2112 2752 2838 3784 4128 5676 7568 8256 11352 15136 22704 30272 32297 45408 64594 90816 96891 129188 193782 258376 355267 387564 516752 710534 775128 1033504 1065801 1388771 1421068 1550256 2067008 2131602 2777542 2842136 3100512 4166313 4263204 5555084 5684272 6201024 8332626 8526408 11110168 11368544 15276481 16665252 17052816 22220336 22737088 30552962 33330504 34105632 44440672 45829443 61105924 66661008 68211264 88881344 91658886 122211848 133322016 183317772 244423696 266644032 366635544 488847392 733271088 977694784 1466542176 2933084352