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1838855340 = 22325721910973
BaseRepresentation
bin110110110011010…
…1011010010101100
311202011010112022100
41231212223102230
512231221332330
6502245015100
763366004200
oct15546532254
94664115270
101838855340
11863a93263
124339b4490
13233c758aa
1413630cb00
15ab681060
hex6d9ab4ac

1838855340 has 216 divisors, whose sum is σ = 6830656560. Its totient is φ = 398151936.

The previous prime is 1838855329. The next prime is 1838855351. The reversal of 1838855340 is 435588381.

1838855340 is a `hidden beast` number, since 1 + 8 + 38 + 85 + 534 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1838855329) and next prime (1838855351).

It is a super-2 number, since 2×18388553402 = 6762777922893031200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 162094 + ... + 173066.

It is an arithmetic number, because the mean of its divisors is an integer number (31623410).

Almost surely, 21838855340 is an apocalyptic number.

1838855340 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 1838855340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415328280).

1838855340 is an abundant number, since it is smaller than the sum of its proper divisors (4991801220).

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

1838855340 is a wasteful number, since it uses less digits than its factorization.

1838855340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1838855340 is about 42881.8765913993. The cubic root of 1838855340 is about 1225.1309791923.

It can be divided in two parts, 183885 and 5340, that added together give a square (189225 = 4352).

The spelling of 1838855340 in words is "one billion, eight hundred thirty-eight million, eight hundred fifty-five thousand, three hundred forty".