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2935344048 = 24371319113313
BaseRepresentation
bin1010111011110101…
…1100101110110000
321120120100221001020
42232331130232300
522002422002143
61203134335440
7132512004240
oct25675345660
97516327036
102935344048
111276a1a47a
1269b05a580
1337a197290
141dbbb5b20
15122a71883
hexaef5cbb0

2935344048 has 320 divisors, whose sum is σ = 9942696960. Its totient is φ = 724598784.

The previous prime is 2935344043. The next prime is 2935344059. The reversal of 2935344048 is 8404435392.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2935344043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9377940 + ... + 9378252.

It is an arithmetic number, because the mean of its divisors is an integer number (31070928).

Almost surely, 22935344048 is an apocalyptic number.

2935344048 is a gapful number since it is divisible by the number (28) 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 2935344048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971348480).

2935344048 is an abundant number, since it is smaller than the sum of its proper divisors (7007352912).

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

2935344048 is a wasteful number, since it uses less digits than its factorization.

2935344048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2935344048 is about 54178.8154909278. The cubic root of 2935344048 is about 1431.8131186686.

The spelling of 2935344048 in words is "two billion, nine hundred thirty-five million, three hundred forty-four thousand, forty-eight".