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1301240320 = 295508297
BaseRepresentation
bin100110110001111…
…0101101000000000
310100200111212010221
41031203311220000
510131104142240
6333042032424
744150234362
oct11543655000
93320455127
101301240320
11608575126
12303948714
131797806b3
14c4b64d32
1579387a4a
hex4d8f5a00

1301240320 has 40 divisors (see below), whose sum is σ = 3119933124. Its totient is φ = 520495104.

The previous prime is 1301240293. The next prime is 1301240371. The reversal of 1301240320 is 230421031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1186664704 + 114575616 = 34448^2 + 10704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1301240294 and 1301240303.

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 3 ways as a sum of consecutive naturals, for example, 251589 + ... + 256708.

Almost surely, 21301240320 is an apocalyptic number.

1301240320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301240320 is an abundant number, since it is smaller than the sum of its proper divisors (1818692804).

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

1301240320 is an frugal number, since it uses more digits than its factorization.

1301240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508320 (or 508304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1301240320 is about 36072.7087976492. The cubic root of 1301240320 is about 1091.7398692503.

Adding to 1301240320 its reverse (230421031), we get a palindrome (1531661351).

The spelling of 1301240320 in words is "one billion, three hundred one million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 508297 1016594 2033188 2541485 4066376 5082970 8132752 10165940 16265504 20331880 32531008 40663760 65062016 81327520 130124032 162655040 260248064 325310080 650620160 1301240320