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1934462816 = 251121338431
BaseRepresentation
bin111001101001101…
…1000111101100000
311222211000220002222
41303103120331200
512430210302231
6515542130212
765636443166
oct16323307540
94884026088
101934462816
11902a54600
1245ba20968
1324aa0bc70
14144cb9236
15b4c6927b
hex734d8f60

1934462816 has 72 divisors (see below), whose sum is σ = 4508304192. Its totient is φ = 811641600.

The previous prime is 1934462813. The next prime is 1934462819. The reversal of 1934462816 is 6182644391.

It is an interprime number because it is at equal distance from previous prime (1934462813) and next prime (1934462819).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1934462813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31121 + ... + 69551.

It is an arithmetic number, because the mean of its divisors is an integer number (62615336).

Almost surely, 21934462816 is an apocalyptic number.

1934462816 is a gapful number since it is divisible by the number (16) 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 1934462816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254152096).

1934462816 is an abundant number, since it is smaller than the sum of its proper divisors (2573841376).

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

1934462816 is a wasteful number, since it uses less digits than its factorization.

1934462816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38476 (or 38457 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 1934462816 is about 43982.5285312248. The cubic root of 1934462816 is about 1246.0059859536.

The spelling of 1934462816 in words is "one billion, nine hundred thirty-four million, four hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 3146 3872 4576 6292 12584 25168 38431 50336 76862 153724 307448 422741 499603 614896 845482 999206 1229792 1690964 1998412 3381928 3996824 4650151 5495633 6763856 7993648 9300302 10991266 13527712 15987296 18600604 21982532 37201208 43965064 60451963 74402416 87930128 120903926 148804832 175860256 241807852 483615704 967231408 1934462816