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2935103104 = 2783431641
BaseRepresentation
bin1010111011110010…
…0001111010000000
321120112220200112101
42232330201322000
522002341244404
61203125240144
7132506651623
oct25674417200
97515820471
102935103104
11127687544a
1269ab63054
1337a1116cb
141dbb51dba
15122a252a4
hexaef21e80

2935103104 has 64 divisors (see below), whose sum is σ = 5940708480. Its totient is φ = 1444249600.

The previous prime is 2935103089. The next prime is 2935103131. The reversal of 2935103104 is 4013015392.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×29351031042 = 17229660462220869632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4578624 + ... + 4579264.

It is an arithmetic number, because the mean of its divisors is an integer number (92823570).

Almost surely, 22935103104 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 2935103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970354240).

2935103104 is an abundant number, since it is smaller than the sum of its proper divisors (3005605376).

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

2935103104 is an equidigital number, since it uses as much as digits as its factorization.

2935103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 2935103104 is about 54176.5918455563. The cubic root of 2935103104 is about 1431.7739414076.

Adding to 2935103104 its reverse (4013015392), we get a palindrome (6948118496).

The spelling of 2935103104 in words is "two billion, nine hundred thirty-five million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 431 641 664 862 1282 1328 1724 2564 2656 3448 5128 5312 6896 10256 10624 13792 20512 27584 35773 41024 53203 55168 71546 82048 106406 143092 212812 276271 286184 425624 552542 572368 851248 1105084 1144736 1702496 2210168 2289472 3404992 4420336 4578944 6809984 8840672 17681344 22930493 35362688 45860986 91721972 183443944 366887888 733775776 1467551552 2935103104