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1341514304 = 261319113751
BaseRepresentation
bin100111111110101…
…1110001001000000
310110111021222122222
41033331132021000
510221411424204
6341041150212
745146453264
oct11775361100
93414258588
101341514304
11629282609
1231532b368
13184c11b60
14ca24a0a4
157cb90abe
hex4ff5e240

1341514304 has 112 divisors (see below), whose sum is σ = 3048487680. Its totient is φ = 580608000.

The previous prime is 1341514303. The next prime is 1341514327. The reversal of 1341514304 is 4034151431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1341514303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785929 + ... + 1786679.

It is an arithmetic number, because the mean of its divisors is an integer number (27218640).

Almost surely, 21341514304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524243840).

1341514304 is an abundant number, since it is smaller than the sum of its proper divisors (1706973376).

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

1341514304 is a wasteful number, since it uses less digits than its factorization.

1341514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1341514304 is about 36626.6884115941. The cubic root of 1341514304 is about 1102.8889087521. Note that the first 3 decimals are identical.

Adding to 1341514304 its reverse (4034151431), we get a palindrome (5375665735).

The spelling of 1341514304 in words is "one billion, three hundred forty-one million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 113 152 208 226 247 304 416 452 494 608 751 832 904 988 1216 1469 1502 1808 1976 2147 2938 3004 3616 3952 4294 5876 6008 7232 7904 8588 9763 11752 12016 14269 15808 17176 19526 23504 24032 27911 28538 34352 39052 47008 48064 55822 57076 68704 78104 84863 94016 111644 114152 137408 156208 169726 185497 223288 228304 312416 339452 370994 446576 456608 624832 678904 741988 893152 913216 1103219 1357808 1483976 1612397 1786304 2206438 2715616 2967952 3224794 4412876 5431232 5935904 6449588 8825752 11871808 12899176 17651504 20961161 25798352 35303008 41922322 51596704 70606016 83844644 103193408 167689288 335378576 670757152 1341514304