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1834894740 = 2235718124137
BaseRepresentation
bin110110101011110…
…0100010110010100
311201212200022101110
41231113210112110
512224213112430
6502024055020
763320230230
oct15527442624
94655608343
101834894740
11861828638
12432604470
132331b9c43
1413599b5c0
15ab14c7b0
hex6d5e4594

1834894740 has 96 divisors (see below), whose sum is σ = 5904347904. Its totient is φ = 417070080.

The previous prime is 1834894727. The next prime is 1834894781. The reversal of 1834894740 is 474984381.

It is a super-3 number, since 3×18348947403 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1834894740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63952 + ... + 88088.

It is an arithmetic number, because the mean of its divisors is an integer number (61503624).

Almost surely, 21834894740 is an apocalyptic number.

1834894740 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 1834894740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952173952).

1834894740 is an abundant number, since it is smaller than the sum of its proper divisors (4069453164).

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

1834894740 is a wasteful number, since it uses less digits than its factorization.

1834894740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24337 (or 24335 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 1834894740 is about 42835.6713499392. The cubic root of 1834894740 is about 1224.2507682835.

The spelling of 1834894740 in words is "one billion, eight hundred thirty-four million, eight hundred ninety-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 181 210 362 420 543 724 905 1086 1267 1810 2172 2534 2715 3620 3801 5068 5430 6335 7602 10860 12670 15204 19005 24137 25340 38010 48274 72411 76020 96548 120685 144822 168959 241370 289644 337918 362055 482740 506877 675836 724110 844795 1013754 1448220 1689590 2027508 2534385 3379180 4368797 5068770 8737594 10137540 13106391 17475188 21843985 26212782 30581579 43687970 52425564 61163158 65531955 87375940 91744737 122326316 131063910 152907895 183489474 262127820 305815790 366978948 458723685 611631580 917447370 1834894740