Search a number
-
+
1422803328 = 27337239419
BaseRepresentation
bin101010011001110…
…0100000110000000
310200011020220020120
41110303210012000
510403214201303
6353103340240
750154425442
oct12463440600
93604226216
101422803328
11670154221
123385b1680
13198a03b7b
14d6d6a492
1584d9b553
hex54ce4180

1422803328 has 128 divisors (see below), whose sum is σ = 3907008000. Its totient is φ = 458422272.

The previous prime is 1422803309. The next prime is 1422803359. The reversal of 1422803328 is 8233082241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3395503 + ... + 3395921.

It is an arithmetic number, because the mean of its divisors is an integer number (30523500).

Almost surely, 21422803328 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 1422803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953504000).

1422803328 is an abundant number, since it is smaller than the sum of its proper divisors (2484204672).

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

1422803328 is a wasteful number, since it uses less digits than its factorization.

1422803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1422803328 is about 37720.0653233793. The cubic root of 1422803328 is about 1124.7300298368.

Adding to 1422803328 its reverse (8233082241), we get a palindrome (9655885569).

The spelling of 1422803328 in words is "one billion, four hundred twenty-two million, eight hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 239 296 384 419 444 478 592 717 838 888 956 1184 1257 1434 1676 1776 1912 2368 2514 2868 3352 3552 3824 4736 5028 5736 6704 7104 7648 8843 10056 11472 13408 14208 15296 15503 17686 20112 22944 26529 26816 30592 31006 35372 40224 45888 46509 53058 53632 62012 70744 80448 91776 93018 100141 106116 124024 141488 160896 186036 200282 212232 248048 282976 300423 372072 400564 424464 496096 565952 600846 744144 801128 848928 992192 1131904 1201692 1488288 1602256 1697856 1984384 2403384 2976576 3204512 3395712 3705217 4806768 5953152 6409024 7410434 9613536 11115651 12818048 14820868 19227072 22231302 29641736 38454144 44462604 59283472 88925208 118566944 177850416 237133888 355700832 474267776 711401664 1422803328