Search a number
-
+
1346392780 = 225439671619
BaseRepresentation
bin101000001000000…
…0101001011001100
310110211110211200021
41100100011023030
510224134032110
6341333511524
745236102245
oct12020051314
93424424607
101346392780
11631004907
12316aa25a4
13185c2c525
14cab59ccc
157d3062da
hex504052cc

1346392780 has 48 divisors (see below), whose sum is σ = 2897959680. Its totient is φ = 525163968.

The previous prime is 1346392777. The next prime is 1346392783. The reversal of 1346392780 is 872936431.

It is an interprime number because it is at equal distance from previous prime (1346392777) and next prime (1346392783).

It is a super-2 number, since 2×13463927802 = 3625547036072256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (1346392783) 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, 830811 + ... + 832429.

It is an arithmetic number, because the mean of its divisors is an integer number (60374160).

Almost surely, 21346392780 is an apocalyptic number.

1346392780 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 1346392780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448979840).

1346392780 is an abundant number, since it is smaller than the sum of its proper divisors (1551566900).

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

1346392780 is a wasteful number, since it uses less digits than its factorization.

1346392780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 1346392780 is about 36693.2252602575. The cubic root of 1346392780 is about 1104.2241928559.

The spelling of 1346392780 in words is "one billion, three hundred forty-six million, three hundred ninety-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 967 1619 1934 3238 3868 4835 6476 8095 9670 16190 19340 32380 41581 69617 83162 139234 166324 207905 278468 348085 415810 696170 831620 1392340 1565573 3131146 6262292 7827865 15655730 31311460 67319639 134639278 269278556 336598195 673196390 1346392780