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1144323620 = 225112509929
BaseRepresentation
bin100010000110100…
…1111111000100100
32221202020122220022
41010031033320210
54320421323440
6305314454312
740233406316
oct10415177044
92852218808
101144323620
11537a39300
1227b294398
131530cc48b
14abd997b6
156a6ddcb5
hex4434fe24

1144323620 has 72 divisors (see below), whose sum is σ = 2649439800. Its totient is φ = 414853120.

The previous prime is 1144323613. The next prime is 1144323643. The reversal of 1144323620 is 263234411.

It can be written as a sum of positive squares in 4 ways, for example, as 31967716 + 1112355904 = 5654^2 + 33352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1144323620.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231316 + ... + 1232244.

It is an arithmetic number, because the mean of its divisors is an integer number (36797775).

Almost surely, 21144323620 is an apocalyptic number.

1144323620 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 1144323620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324719900).

1144323620 is an abundant number, since it is smaller than the sum of its proper divisors (1505116180).

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

1144323620 is a wasteful number, since it uses less digits than its factorization.

1144323620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1144323620 is about 33827.8527252322. The cubic root of 1144323620 is about 1045.9629166940.

The spelling of 1144323620 in words is "one billion, one hundred forty-four million, three hundred twenty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 509 605 929 1018 1210 1858 2036 2420 2545 3716 4645 5090 5599 9290 10180 10219 11198 18580 20438 22396 27995 40876 51095 55990 61589 102190 111980 112409 123178 204380 224818 246356 307945 449636 472861 562045 615890 945722 1124090 1231780 1891444 2248180 2364305 4728610 5201471 9457220 10402942 20805884 26007355 52014710 57216181 104029420 114432362 228864724 286080905 572161810 1144323620