Search a number
-
+
1144034240 = 2653799433
BaseRepresentation
bin100010000110000…
…1001001111000000
32221201200221221112
41010030021033000
54320333043430
6305304342452
740231062536
oct10414111700
92851627845
101144034240
11537860948
1227b174a28
1315302a84b
14abd22156
156a683195
hex443093c0

1144034240 has 56 divisors (see below), whose sum is σ = 2731709040. Its totient is φ = 456357888.

The previous prime is 1144034231. The next prime is 1144034257. The reversal of 1144034240 is 424304411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116564 + ... + 125996.

Almost surely, 21144034240 is an apocalyptic number.

1144034240 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 1144034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365854520).

1144034240 is an abundant number, since it is smaller than the sum of its proper divisors (1587674800).

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

1144034240 is an equidigital number, since it uses as much as digits as its factorization.

1144034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9829 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1144034240 is about 33823.5752101992. The cubic root of 1144034240 is about 1045.8747405110.

Adding to 1144034240 its reverse (424304411), we get a palindrome (1568338651).

The spelling of 1144034240 in words is "one billion, one hundred forty-four million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 379 758 1516 1895 3032 3790 6064 7580 9433 12128 15160 18866 24256 30320 37732 47165 60640 75464 94330 121280 150928 188660 301856 377320 603712 754640 1509280 3018560 3575107 7150214 14300428 17875535 28600856 35751070 57201712 71502140 114403424 143004280 228806848 286008560 572017120 1144034240