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199309734 = 234131719293
BaseRepresentation
bin10111110000100…
…11100110100110
3111220000222120000
423320103212212
5402010402414
631435522130
74640050641
oct1370234646
9456028500
10199309734
11a2561398
12568b9346
13323a5070
141c682a58
151276eb09
hexbe139a6

199309734 has 160 divisors (see below), whose sum is σ = 537878880. Its totient is φ = 54494208.

The previous prime is 199309727. The next prime is 199309741. The reversal of 199309734 is 437903991.

It is an interprime number because it is at equal distance from previous prime (199309727) and next prime (199309741).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 199309734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 680092 + ... + 680384.

It is an arithmetic number, because the mean of its divisors is an integer number (3361743).

Almost surely, 2199309734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199309734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268939440).

199309734 is an abundant number, since it is smaller than the sum of its proper divisors (338569146).

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

199309734 is a wasteful number, since it uses less digits than its factorization.

199309734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 199309734 is about 14117.7099417717. The cubic root of 199309734 is about 584.1299888133.

The spelling of 199309734 in words is "one hundred ninety-nine million, three hundred nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 19 26 27 34 38 39 51 54 57 78 81 102 114 117 153 162 171 221 234 247 293 306 323 342 351 442 459 494 513 586 646 663 702 741 879 918 969 1026 1053 1326 1377 1482 1539 1758 1938 1989 2106 2223 2637 2754 2907 3078 3809 3978 4199 4446 4981 5274 5567 5814 5967 6669 7618 7911 8398 8721 9962 11134 11427 11934 12597 13338 14943 15822 16701 17442 17901 20007 22854 23733 25194 26163 29886 33402 34281 35802 37791 40014 44829 47466 50103 52326 64753 68562 72371 75582 89658 94639 100206 102843 113373 129506 134487 144742 150309 189278 194259 205686 217113 226746 268974 283917 300618 308529 340119 388518 403461 434226 450927 567834 582777 617058 651339 680238 806922 851751 901854 1165554 1230307 1302678 1703502 1748331 1954017 2460614 2555253 3496662 3690921 3908034 5110506 5244993 5862051 7381842 7665759 10489986 11072763 11724102 15331518 22145526 33218289 66436578 99654867 199309734