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1345572240 = 24357970969
BaseRepresentation
bin101000000110011…
…1100110110010000
310110202221011002220
41100030330312100
510223431302430
6341304141040
745226114065
oct12014746620
93422834086
101345572240
116305a4381
12316767780
13185a02bbc
14ca9c4c6c
157d1e3110
hex5033cd90

1345572240 has 80 divisors (see below), whose sum is σ = 4224134400. Its totient is φ = 354272256.

The previous prime is 1345572233. The next prime is 1345572251. The reversal of 1345572240 is 422755431.

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

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 15 ways as a sum of consecutive naturals, for example, 16525 + ... + 54444.

It is an arithmetic number, because the mean of its divisors is an integer number (52801680).

Almost surely, 21345572240 is an apocalyptic number.

1345572240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345572240 is an abundant number, since it is smaller than the sum of its proper divisors (2878562160).

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

1345572240 is a wasteful number, since it uses less digits than its factorization.

1345572240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71064 (or 71058 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 1345572240 is about 36682.0424731230. The cubic root of 1345572240 is about 1103.9998293425. Note that the first 3 decimals are identical.

The spelling of 1345572240 in words is "one billion, three hundred forty-five million, five hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 70969 141938 212907 283876 354845 425814 567752 709690 851628 1064535 1135504 1419380 1703256 2129070 2838760 3406512 4258140 5606551 5677520 8516280 11213102 16819653 17032560 22426204 28032755 33639306 44852408 56065510 67278612 84098265 89704816 112131020 134557224 168196530 224262040 269114448 336393060 448524080 672786120 1345572240