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1864068340 = 2251911343411
BaseRepresentation
bin110111100011011…
…0110110011110100
311210220120111001011
41233012312303310
512304200141330
6504545242004
764123214401
oct15706666364
94726514034
101864068340
11877244152
12440333304
13239262a24
141397d32a8
15ad9b182a
hex6f1b6cf4

1864068340 has 48 divisors (see below), whose sum is σ = 4157133120. Its totient is φ = 700116480.

The previous prime is 1864068337. The next prime is 1864068433. The reversal of 1864068340 is 438604681.

It is a junction number, because it is equal to n+sod(n) for n = 1864068293 and 1864068302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21235 + ... + 64645.

It is an arithmetic number, because the mean of its divisors is an integer number (86606940).

Almost surely, 21864068340 is an apocalyptic number.

1864068340 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 1864068340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078566560).

1864068340 is an abundant number, since it is smaller than the sum of its proper divisors (2293064780).

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

1864068340 is a wasteful number, since it uses less digits than its factorization.

1864068340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43552 (or 43550 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 1864068340 is about 43174.8577299335. The cubic root of 1864068340 is about 1230.7049388472.

The spelling of 1864068340 in words is "one billion, eight hundred sixty-four million, sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 380 452 565 1130 2147 2260 4294 8588 10735 21470 42940 43411 86822 173644 217055 434110 824809 868220 1649618 3299236 4124045 4905443 8248090 9810886 16496180 19621772 24527215 49054430 93203417 98108860 186406834 372813668 466017085 932034170 1864068340