Search a number
-
+
2094683328 = 26353672
BaseRepresentation
bin111110011011010…
…0101010011000000
312101222111221100000
41330312211103000
513242214331303
6543504200000
7102623341323
oct17466452300
95358457300
102094683328
11985437651
124a5609000
13274c78bba
1415c2a47ba
15c3d66da3
hex7cda54c0

2094683328 has 126 divisors (see below), whose sum is σ = 6243414996. Its totient is φ = 696325248.

The previous prime is 2094683323. The next prime is 2094683333. The reversal of 2094683328 is 8233864902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2094683328 is a `hidden beast` number, since 209 + 46 + 83 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (2094683323) and next prime (2094683333).

It is not an unprimeable number, because it can be changed into a prime (2094683323) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5707401 + ... + 5707767.

Almost surely, 22094683328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2094683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121707498).

2094683328 is an abundant number, since it is smaller than the sum of its proper divisors (4148731668).

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

2094683328 is an frugal number, since it uses more digits than its factorization.

2094683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2094683328 is about 45767.7105392000. The cubic root of 2094683328 is about 1279.4975501905.

The spelling of 2094683328 in words is "two billion, ninety-four million, six hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 367 432 486 576 648 734 864 972 1101 1296 1468 1728 1944 2202 2592 2936 3303 3888 4404 5184 5872 6606 7776 8808 9909 11744 13212 15552 17616 19818 23488 26424 29727 35232 39636 52848 59454 70464 79272 89181 105696 118908 134689 158544 178362 211392 237816 269378 317088 356724 404067 475632 538756 634176 713448 808134 951264 1077512 1212201 1426896 1616268 1902528 2155024 2424402 2853792 3232536 3636603 4310048 4848804 5707584 6465072 7273206 8620096 9697608 10909809 12930144 14546412 19395216 21819618 25860288 29092824 32729427 38790432 43639236 58185648 65458854 77580864 87278472 116371296 130917708 174556944 232742592 261835416 349113888 523670832 698227776 1047341664 2094683328