Search a number
-
+
1944272340 = 2232523469631
BaseRepresentation
bin111001111100011…
…0011110111010100
312000111111021020200
41303320303313110
512440213203330
6520532300500
766116020323
oct16370636724
95014437220
101944272340
1190854464a
12463171730
1324ca64c0a
141463100ba
15b5a55a60
hex73e33dd4

1944272340 has 72 divisors (see below), whose sum is σ = 6154057728. Its totient is φ = 495929280.

The previous prime is 1944272327. The next prime is 1944272381. The reversal of 1944272340 is 432724491.

1944272340 is a `hidden beast` number, since 1 + 9 + 44 + 272 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1944272295 and 1944272304.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 230676 + ... + 238955.

It is an arithmetic number, because the mean of its divisors is an integer number (85473024).

Almost surely, 21944272340 is an apocalyptic number.

1944272340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1944272340 is an abundant number, since it is smaller than the sum of its proper divisors (4209785388).

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

1944272340 is a wasteful number, since it uses less digits than its factorization.

1944272340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469669 (or 469664 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1944272340 is about 44093.9036602567. The cubic root of 1944272340 is about 1248.1085719769.

The spelling of 1944272340 in words is "one billion, nine hundred forty-four million, two hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 469631 939262 1408893 1878524 2348155 2817786 4226679 4696310 5635572 7044465 8453358 9392620 10801513 14088930 16906716 21133395 21603026 28177860 32404539 42266790 43206052 54007565 64809078 84533580 97213617 108015130 129618156 162022695 194427234 216030260 324045390 388854468 486068085 648090780 972136170 1944272340