[go: up one dir, main page]

Search a number
-
+
1453330340 = 22571117431291
BaseRepresentation
bin101011010100000…
…0000111110100100
310202021200211102122
41112220000332210
510434023032330
6400113525112
751005050460
oct12650007644
93667624378
101453330340
11686404660
12346873798
131a21319a7
14db0354a0
15878cb5e5
hex56a00fa4

1453330340 has 192 divisors, whose sum is σ = 4125800448. Its totient is φ = 416102400.

The previous prime is 1453330283. The next prime is 1453330367. The reversal of 1453330340 is 430333541.

It is a happy number.

It is a super-2 number, since 2×14533303402 = 4224338154329031200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1125095 + ... + 1126385.

It is an arithmetic number, because the mean of its divisors is an integer number (21488544).

Almost surely, 21453330340 is an apocalyptic number.

1453330340 is a gapful number since it is divisible by the number (10) 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 1453330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062900224).

1453330340 is an abundant number, since it is smaller than the sum of its proper divisors (2672470108).

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

1453330340 is a wasteful number, since it uses less digits than its factorization.

1453330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 1453330340 is about 38122.5699553427. The cubic root of 1453330340 is about 1132.7170734608.

Adding to 1453330340 its reverse (430333541), we get a palindrome (1883663881).

The spelling of 1453330340 in words is "one billion, four hundred fifty-three million, three hundred thirty thousand, three hundred forty".