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1934944144 = 247215712
BaseRepresentation
bin111001101010100…
…1110011110010000
311222211221100100221
41303111032132100
512430321203034
6520000322424
765643516400
oct16325163620
94884840327
101934944144
119032531a1
12460013414
1324ab4a083
14144da2800
15b4d11bb4
hex7354e790

1934944144 has 45 divisors (see below), whose sum is σ = 4363806171. Its totient is φ = 828733920.

The previous prime is 1934944139. The next prime is 1934944147. The reversal of 1934944144 is 4414494391.

The square root of 1934944144 is 43988.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×19349441443 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1934944144.

It is not an unprimeable number, because it can be changed into a prime (1934944147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1230879 + ... + 1232449.

Almost surely, 21934944144 is an apocalyptic number.

1934944144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1934944144 is the 43988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1934944144

1934944144 is an abundant number, since it is smaller than the sum of its proper divisors (2428862027).

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

1934944144 is an frugal number, since it uses more digits than its factorization.

1934944144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 1580 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The cubic root of 1934944144 is about 1246.1093200384.

The spelling of 1934944144 in words is "one billion, nine hundred thirty-four million, nine hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1571 3142 6284 10997 12568 21994 25136 43988 76979 87976 153958 175952 307916 615832 1231664 2468041 4936082 9872164 17276287 19744328 34552574 39488656 69105148 120934009 138210296 241868018 276420592 483736036 967472072 1934944144