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3401311144 = 2371119290611
BaseRepresentation
bin1100101010111011…
…1110001110101000
322210001011111201211
43022232332032220
523431213424034
61321301522504
7150200445010
oct31256761650
98701144654
103401311144
111495a51450
127ab113434
1342289485a
14243a2cc40
1514d915d64
hexcabbe3a8

3401311144 has 64 divisors (see below), whose sum is σ = 8369625600. Its totient is φ = 1255435200.

The previous prime is 3401311141. The next prime is 3401311157. The reversal of 3401311144 is 4411131043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3401311141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133602 + ... + 157009.

It is an arithmetic number, because the mean of its divisors is an integer number (130775400).

Almost surely, 23401311144 is an apocalyptic number.

It is an amenable number.

3401311144 is an abundant number, since it is smaller than the sum of its proper divisors (4968314456).

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

3401311144 is a wasteful number, since it uses less digits than its factorization.

3401311144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290654 (or 290650 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3401311144 is about 58320.7608317999. The cubic root of 3401311144 is about 1503.8878615746.

Adding to 3401311144 its reverse (4411131043), we get a palindrome (7812442187).

The spelling of 3401311144 in words is "three billion, four hundred one million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2926 5852 11704 290611 581222 1162444 2034277 2324888 3196721 4068554 5521609 6393442 8137108 11043218 12786884 16274216 22086436 22377047 25573768 38651263 44172872 44754094 60737699 77302526 89508188 121475398 154605052 179016376 242950796 309210104 425163893 485901592 850327786 1700655572 3401311144