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1356240380 = 2251113147059
BaseRepresentation
bin101000011010110…
…1001010111111100
310111112000011001012
41100311221113330
510234144143010
6342324534352
745415565405
oct12065512774
93445004035
101356240380
11636620520
1231a2513b8
13187c99901
14cc1a09ac
157e0ee005
hex50d695fc

1356240380 has 48 divisors (see below), whose sum is σ = 3130807680. Its totient is φ = 489403200.

The previous prime is 1356240377. The next prime is 1356240383. The reversal of 1356240380 is 830426531.

It is an interprime number because it is at equal distance from previous prime (1356240377) and next prime (1356240383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356240383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5291 + ... + 52349.

It is an arithmetic number, because the mean of its divisors is an integer number (65225160).

Almost surely, 21356240380 is an apocalyptic number.

1356240380 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 1356240380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565403840).

1356240380 is an abundant number, since it is smaller than the sum of its proper divisors (1774567300).

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

1356240380 is a wasteful number, since it uses less digits than its factorization.

1356240380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47210 (or 47208 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1356240380 is about 36827.1690467785. The cubic root of 1356240380 is about 1106.9097772782.

The spelling of 1356240380 in words is "one billion, three hundred fifty-six million, two hundred forty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 14410 28820 47059 94118 188236 235295 470590 517649 941180 1035298 2070596 2588245 5176490 6164729 10352980 12329458 24658916 30823645 61647290 67812019 123294580 135624038 271248076 339060095 678120190 1356240380