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1344521040 = 243511634817
BaseRepresentation
bin101000000100011…
…1100001101010000
310110200221202010120
41100020330031100
510223144133130
6341225430240
745214145262
oct12010741520
93420852116
101344521040
1162aa46615
1231633b380
131857255a5
14ca7cdb32
157d086910
hex5023c350

1344521040 has 80 divisors (see below), whose sum is σ = 4172465088. Its totient is φ = 358156288.

The previous prime is 1344521039. The next prime is 1344521099. The reversal of 1344521040 is 401254431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1344521040.

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, 276712 + ... + 281528.

Almost surely, 21344521040 is an apocalyptic number.

1344521040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344521040 is an abundant number, since it is smaller than the sum of its proper divisors (2827944048).

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

1344521040 is a wasteful number, since it uses less digits than its factorization.

1344521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1344521040 is about 36667.7111366390. The cubic root of 1344521040 is about 1103.7122622319.

Adding to 1344521040 its reverse (401254431), we get a palindrome (1745775471).

The spelling of 1344521040 in words is "one billion, three hundred forty-four million, five hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1163 2326 3489 4652 4817 5815 6978 9304 9634 11630 13956 14451 17445 18608 19268 23260 24085 27912 28902 34890 38536 46520 48170 55824 57804 69780 72255 77072 93040 96340 115608 139560 144510 192680 231216 279120 289020 385360 578040 1156080 5602171 11204342 16806513 22408684 28010855 33613026 44817368 56021710 67226052 84032565 89634736 112043420 134452104 168065130 224086840 268904208 336130260 448173680 672260520 1344521040