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1833910134 = 2371953131331
BaseRepresentation
bin110110101001111…
…0011111101110110
311201210211021202120
41231103303331312
512223440111014
6501551020410
763305656530
oct15523637566
94653737676
101833910134
11861215911
1243220a706
13232c33a34
141357c2850
15ab005ba9
hex6d4f3f76

1833910134 has 128 divisors (see below), whose sum is σ = 4543672320. Its totient is φ = 481852800.

The previous prime is 1833910103. The next prime is 1833910151. The reversal of 1833910134 is 4310193381.

It is a junction number, because it is equal to n+sod(n) for n = 1833910095 and 1833910104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5540349 + ... + 5540679.

It is an arithmetic number, because the mean of its divisors is an integer number (35497440).

Almost surely, 21833910134 is an apocalyptic number.

1833910134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1833910134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271836160).

1833910134 is an abundant number, since it is smaller than the sum of its proper divisors (2709762186).

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

1833910134 is a wasteful number, since it uses less digits than its factorization.

1833910134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1833910134 is about 42824.1769798323. The cubic root of 1833910134 is about 1224.0317511201.

The spelling of 1833910134 in words is "one billion, eight hundred thirty-three million, nine hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 114 131 133 159 262 266 318 331 371 393 399 662 742 786 798 917 993 1007 1113 1834 1986 2014 2226 2317 2489 2751 3021 4634 4978 5502 6042 6289 6943 6951 7049 7467 12578 13886 13902 14098 14934 17423 17543 18867 20829 21147 34846 35086 37734 41658 42294 43361 44023 48601 52269 52629 86722 88046 97202 104538 105258 122801 130083 131917 132069 145803 245602 260166 263834 264138 291606 303527 333317 368403 395751 607054 666634 736806 791502 823859 910581 923419 999951 1647718 1821162 1846838 1999902 2298133 2333219 2471577 2770257 4596266 4666438 4943154 5540514 5767013 6894399 6999657 11534026 13788798 13999314 16086931 17301039 32173862 34602078 43664527 48260793 87329054 96521586 130993581 261987162 305651689 611303378 916955067 1833910134