Search a number
-
+
1345435340 = 2253112131789
BaseRepresentation
bin101000000110001…
…1011011011001100
310110202200012022112
41100030123123030
510223412412330
6341301203152
745225004004
oct12014333314
93422605275
101345435340
11630510537
123167004b8
131859857b2
14ca98b004
157d1b7795
hex5031b6cc

1345435340 has 48 divisors (see below), whose sum is σ = 2920592640. Its totient is φ = 520093440.

The previous prime is 1345435331. The next prime is 1345435361. The reversal of 1345435340 is 435345431.

It is a junction number, because it is equal to n+sod(n) for n = 1345435297 and 1345435306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751166 + ... + 752954.

It is an arithmetic number, because the mean of its divisors is an integer number (60845680).

Almost surely, 21345435340 is an apocalyptic number.

1345435340 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 1345435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460296320).

1345435340 is an abundant number, since it is smaller than the sum of its proper divisors (1575157300).

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

1345435340 is a wasteful number, since it uses less digits than its factorization.

1345435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 1345435340 is about 36680.1763899794. The cubic root of 1345435340 is about 1103.9623873537.

The spelling of 1345435340 in words is "one billion, three hundred forty-five million, four hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1213 1789 2426 3578 4852 6065 7156 8945 12130 17890 24260 35780 37603 55459 75206 110918 150412 188015 221836 277295 376030 554590 752060 1109180 2170057 4340114 8680228 10850285 21700570 43401140 67271767 134543534 269087068 336358835 672717670 1345435340